library(readr)
## Warning: package 'readr' was built under R version 4.2.2
diabetes <- read_csv("C:/Users/Shruti Sontakke/Downloads/archive (4)/diabetes.csv")
## Rows: 768 Columns: 9
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (1): Outcome
## dbl (8): Pregnancies, Glucose, BloodPressure, SkinThickness, Insulin, BMI, D...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
attach(diabetes)
str(diabetes)
## spc_tbl_ [768 × 9] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ Outcome                 : chr [1:768] "D" "ND" "D" "ND" ...
##  $ Pregnancies             : num [1:768] 6 1 8 1 0 5 3 10 2 8 ...
##  $ Glucose                 : num [1:768] 148 85 183 89 137 116 78 115 197 125 ...
##  $ BloodPressure           : num [1:768] 72 66 64 66 40 74 50 0 70 96 ...
##  $ SkinThickness           : num [1:768] 35 29 0 23 35 0 32 0 45 0 ...
##  $ Insulin                 : num [1:768] 0 0 0 94 168 0 88 0 543 0 ...
##  $ BMI                     : num [1:768] 33.6 26.6 23.3 28.1 43.1 25.6 31 35.3 30.5 0 ...
##  $ DiabetesPedigreeFunction: num [1:768] 0.627 0.351 0.672 0.167 2.288 ...
##  $ Age                     : num [1:768] 50 31 32 21 33 30 26 29 53 54 ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   Outcome = col_character(),
##   ..   Pregnancies = col_double(),
##   ..   Glucose = col_double(),
##   ..   BloodPressure = col_double(),
##   ..   SkinThickness = col_double(),
##   ..   Insulin = col_double(),
##   ..   BMI = col_double(),
##   ..   DiabetesPedigreeFunction = col_double(),
##   ..   Age = col_double()
##   .. )
##  - attr(*, "problems")=<externalptr>
#Get the Correlations between the measurements
cor(diabetes[-1])
##                          Pregnancies    Glucose BloodPressure SkinThickness
## Pregnancies               1.00000000 0.12945867    0.14128198   -0.08167177
## Glucose                   0.12945867 1.00000000    0.15258959    0.05732789
## BloodPressure             0.14128198 0.15258959    1.00000000    0.20737054
## SkinThickness            -0.08167177 0.05732789    0.20737054    1.00000000
## Insulin                  -0.07353461 0.33135711    0.08893338    0.43678257
## BMI                       0.01768309 0.22107107    0.28180529    0.39257320
## DiabetesPedigreeFunction -0.03352267 0.13733730    0.04126495    0.18392757
## Age                       0.54434123 0.26351432    0.23952795   -0.11397026
##                              Insulin        BMI DiabetesPedigreeFunction
## Pregnancies              -0.07353461 0.01768309              -0.03352267
## Glucose                   0.33135711 0.22107107               0.13733730
## BloodPressure             0.08893338 0.28180529               0.04126495
## SkinThickness             0.43678257 0.39257320               0.18392757
## Insulin                   1.00000000 0.19785906               0.18507093
## BMI                       0.19785906 1.00000000               0.14064695
## DiabetesPedigreeFunction  0.18507093 0.14064695               1.00000000
## Age                      -0.04216295 0.03624187               0.03356131
##                                  Age
## Pregnancies               0.54434123
## Glucose                   0.26351432
## BloodPressure             0.23952795
## SkinThickness            -0.11397026
## Insulin                  -0.04216295
## BMI                       0.03624187
## DiabetesPedigreeFunction  0.03356131
## Age                       1.00000000
# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
diabetes_pca <- prcomp(diabetes[,-1],scale=TRUE)
diabetes_pca
## Standard deviations (1, .., p=8):
## [1] 1.4471973 1.3157546 1.0147068 0.9356971 0.8731234 0.8262133 0.6479322
## [8] 0.6359733
## 
## Rotation (n x k) = (8 x 8):
##                                 PC1        PC2         PC3         PC4
## Pregnancies              -0.1284321  0.5937858 -0.01308692  0.08069115
## Glucose                  -0.3930826  0.1740291  0.46792282 -0.40432871
## BloodPressure            -0.3600026  0.1838921 -0.53549442  0.05598649
## SkinThickness            -0.4398243 -0.3319653 -0.23767380  0.03797608
## Insulin                  -0.4350262 -0.2507811  0.33670893 -0.34994376
## BMI                      -0.4519413 -0.1009598 -0.36186463  0.05364595
## DiabetesPedigreeFunction -0.2706114 -0.1220690  0.43318905  0.83368010
## Age                      -0.1980271  0.6205885  0.07524755  0.07120060
##                                 PC5          PC6         PC7          PC8
## Pregnancies              -0.4756057  0.193598168  0.58879003  0.117840984
## Glucose                   0.4663280  0.094161756  0.06015291  0.450355256
## BloodPressure             0.3279531 -0.634115895  0.19211793 -0.011295538
## SkinThickness            -0.4878621  0.009589438 -0.28221253  0.566283799
## Insulin                  -0.3469348 -0.270650609  0.13200992 -0.548621381
## BMI                       0.2532038  0.685372179  0.03536644 -0.341517637
## DiabetesPedigreeFunction  0.1198105 -0.085784088  0.08609107 -0.008258731
## Age                      -0.1092900 -0.033357170 -0.71208542 -0.211661979
summary(diabetes_pca)
## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.4472 1.3158 1.0147 0.9357 0.87312 0.82621 0.64793
## Proportion of Variance 0.2618 0.2164 0.1287 0.1094 0.09529 0.08533 0.05248
## Cumulative Proportion  0.2618 0.4782 0.6069 0.7163 0.81164 0.89697 0.94944
##                            PC8
## Standard deviation     0.63597
## Proportion of Variance 0.05056
## Cumulative Proportion  1.00000
# sample scores stored in sparrows_pca$x
# singular values (square roots of eigenvalues) stored in sparrow_pca$sdev
# loadings (eigenvectors) are stored in sparrows_pca$rotation
# variable means stored in sparrows_pca$center
# variable standard deviations stored in sparrows_pca$scale
# A table containing eigenvalues and %'s accounted, follows
# Eigenvalues are sdev^2
(eigen_diabetes <- diabetes_pca$sdev^2)
## [1] 2.0943799 1.7312101 1.0296299 0.8755290 0.7623444 0.6826284 0.4198162
## [8] 0.4044620
names(eigen_diabetes) <- paste("PC",1:8,sep="")
eigen_diabetes
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 2.0943799 1.7312101 1.0296299 0.8755290 0.7623444 0.6826284 0.4198162 0.4044620
sumlambdas <- sum(eigen_diabetes)
sumlambdas
## [1] 8
propvar <- eigen_diabetes/sumlambdas
propvar
##        PC1        PC2        PC3        PC4        PC5        PC6        PC7 
## 0.26179749 0.21640127 0.12870373 0.10944113 0.09529305 0.08532855 0.05247702 
##        PC8 
## 0.05055776
cumvar_diabetes <- cumsum(propvar)
cumvar_diabetes
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 0.2617975 0.4781988 0.6069025 0.7163436 0.8116367 0.8969652 0.9494422 1.0000000
matlambdas <- rbind(eigen_diabetes,propvar,cumvar_diabetes)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)
##                        PC1    PC2    PC3    PC4    PC5    PC6    PC7    PC8
## Eigenvalues         2.0944 1.7312 1.0296 0.8755 0.7623 0.6826 0.4198 0.4045
## Prop. variance      0.2618 0.2164 0.1287 0.1094 0.0953 0.0853 0.0525 0.0506
## Cum. prop. variance 0.2618 0.4782 0.6069 0.7163 0.8116 0.8970 0.9494 1.0000
summary(diabetes_pca)
## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.4472 1.3158 1.0147 0.9357 0.87312 0.82621 0.64793
## Proportion of Variance 0.2618 0.2164 0.1287 0.1094 0.09529 0.08533 0.05248
## Cumulative Proportion  0.2618 0.4782 0.6069 0.7163 0.81164 0.89697 0.94944
##                            PC8
## Standard deviation     0.63597
## Proportion of Variance 0.05056
## Cumulative Proportion  1.00000
diabetes_pca$rotation
##                                 PC1        PC2         PC3         PC4
## Pregnancies              -0.1284321  0.5937858 -0.01308692  0.08069115
## Glucose                  -0.3930826  0.1740291  0.46792282 -0.40432871
## BloodPressure            -0.3600026  0.1838921 -0.53549442  0.05598649
## SkinThickness            -0.4398243 -0.3319653 -0.23767380  0.03797608
## Insulin                  -0.4350262 -0.2507811  0.33670893 -0.34994376
## BMI                      -0.4519413 -0.1009598 -0.36186463  0.05364595
## DiabetesPedigreeFunction -0.2706114 -0.1220690  0.43318905  0.83368010
## Age                      -0.1980271  0.6205885  0.07524755  0.07120060
##                                 PC5          PC6         PC7          PC8
## Pregnancies              -0.4756057  0.193598168  0.58879003  0.117840984
## Glucose                   0.4663280  0.094161756  0.06015291  0.450355256
## BloodPressure             0.3279531 -0.634115895  0.19211793 -0.011295538
## SkinThickness            -0.4878621  0.009589438 -0.28221253  0.566283799
## Insulin                  -0.3469348 -0.270650609  0.13200992 -0.548621381
## BMI                       0.2532038  0.685372179  0.03536644 -0.341517637
## DiabetesPedigreeFunction  0.1198105 -0.085784088  0.08609107 -0.008258731
## Age                      -0.1092900 -0.033357170 -0.71208542 -0.211661979
print(diabetes_pca)
## Standard deviations (1, .., p=8):
## [1] 1.4471973 1.3157546 1.0147068 0.9356971 0.8731234 0.8262133 0.6479322
## [8] 0.6359733
## 
## Rotation (n x k) = (8 x 8):
##                                 PC1        PC2         PC3         PC4
## Pregnancies              -0.1284321  0.5937858 -0.01308692  0.08069115
## Glucose                  -0.3930826  0.1740291  0.46792282 -0.40432871
## BloodPressure            -0.3600026  0.1838921 -0.53549442  0.05598649
## SkinThickness            -0.4398243 -0.3319653 -0.23767380  0.03797608
## Insulin                  -0.4350262 -0.2507811  0.33670893 -0.34994376
## BMI                      -0.4519413 -0.1009598 -0.36186463  0.05364595
## DiabetesPedigreeFunction -0.2706114 -0.1220690  0.43318905  0.83368010
## Age                      -0.1980271  0.6205885  0.07524755  0.07120060
##                                 PC5          PC6         PC7          PC8
## Pregnancies              -0.4756057  0.193598168  0.58879003  0.117840984
## Glucose                   0.4663280  0.094161756  0.06015291  0.450355256
## BloodPressure             0.3279531 -0.634115895  0.19211793 -0.011295538
## SkinThickness            -0.4878621  0.009589438 -0.28221253  0.566283799
## Insulin                  -0.3469348 -0.270650609  0.13200992 -0.548621381
## BMI                       0.2532038  0.685372179  0.03536644 -0.341517637
## DiabetesPedigreeFunction  0.1198105 -0.085784088  0.08609107 -0.008258731
## Age                      -0.1092900 -0.033357170 -0.71208542 -0.211661979
## Sample scores stored in sparrow_pca$x
diabetes_pca$x
##                 PC1          PC2          PC3           PC4           PC5
##   [1,] -1.067806862  1.234090757  0.095867368  4.966665e-01 -0.1099132790
##   [2,]  1.120952811 -0.733373746 -0.712473852  2.848706e-01 -0.3892535190
##   [3,]  0.396218504  1.594836615  1.759531796 -7.034879e-02  0.9058835066
##   [4,]  1.115054156 -1.270413093 -0.663296973 -5.787458e-01 -0.3558278959
##   [5,] -2.357797682 -2.183396333  2.961176841  4.030472e+00  0.5922982735
##   [6,]  1.434816261  0.835032943 -0.220188660 -4.475530e-01  0.4436833028
##   [7,]  0.929569845 -1.107218102 -0.536228863 -1.445658e-01 -1.2508762973
##   [8,]  2.148406325  0.855344470  1.253824488 -6.378529e-01 -1.2338619618
##   [9,] -3.295777171 -0.241996927  1.869642773 -3.032619e+00 -1.1020611752
##  [10,]  1.838652045  3.204572290  0.660301809 -3.767756e-01 -0.5097192236
##  [11,]  0.532206965  0.647185445 -1.365946780 -2.870690e-01  1.1840699108
##  [12,] -0.447648966  1.927673986  0.417177197 -3.139047e-02  0.9789396898
##  [13,] -0.703519595  2.847065556  1.656130591  2.692405e+00  0.4207182669
##  [14,] -3.784640161 -0.524980983  3.616694044 -3.319283e+00 -1.4681925451
##  [15,] -1.007494805  1.275379750  1.424970355 -4.720614e-01 -0.0179935763
##  [16,]  2.414600089  0.342270472  1.766003072  3.427586e-01 -1.1007290421
##  [17,] -2.209870937 -1.753589136 -0.939557406 -1.260106e-01 -0.0157632755
##  [18,]  1.179817980  1.120506726 -0.467570771 -1.192156e-01  0.1684562364
##  [19,]  0.154019940 -1.391740693 -0.318005055 -5.744737e-01 -0.8047995321
##  [20,] -0.333030410 -0.877046036 -0.246559627  1.362972e-01  0.1084890755
##  [21,] -2.035423962 -1.213617776 -0.368010376  1.432944e-01 -0.2025569494
##  [22,]  0.292214484  2.227179832 -0.834633612  5.264897e-01  0.1382160610
##  [23,] -1.125944080  2.081456071  0.245693105 -5.728048e-01  2.0435188731
##  [24,] -0.059816990  0.765744394 -0.960672312 -1.159440e-01 -0.9049779357
##  [25,] -1.986235966  2.172673898 -0.767974598 -6.168958e-01 -0.9420038087
##  [26,] -0.446739972  1.444374350 -0.225433603 -6.264237e-01 -1.2640520804
##  [27,] -0.115431584  1.863873590 -0.306591210 -4.723917e-01  0.9900508460
##  [28,]  1.066311830 -1.162867506  0.357049964 -6.075180e-02 -0.1839095928
##  [29,] -0.610206498  3.296004903  0.376474491 -6.373178e-01 -1.3833910655
##  [30,]  0.354706149  1.274696465 -0.864670362  4.033645e-02  1.0110643778
##  [31,] -0.597672485  1.588193453 -0.571995163  8.262329e-01 -0.2566604700
##  [32,] -1.801059862 -0.973944510  1.088018517 -1.482012e-02 -0.0197674938
##  [33,]  1.772412677 -0.604472895 -0.113848222 -2.132337e-01 -0.3799579053
##  [34,]  1.728014295  1.023870122 -0.841476865 -1.516382e-01  0.0882989840
##  [35,] -0.379868758  1.793043724 -0.313540252  5.686280e-01 -1.0175377867
##  [36,] -0.325085475 -0.752537890  1.142872973  1.080096e+00 -1.2318541889
##  [37,]  0.199737520  2.116944330 -0.007353667  5.672587e-02  0.2283670467
##  [38,] -0.669707496  1.292634455 -0.673243978  1.233193e+00 -1.1692337748
##  [39,] -0.095994098 -1.197090540 -1.251479711  7.194905e-01 -0.3564861069
##  [40,] -2.573770162 -0.029216804  0.863457833  2.296661e+00 -1.0248751718
##  [41,] -0.514649628 -0.281067211  0.513311815 -1.277694e+00  0.8469551206
##  [42,] -0.395481909  1.375073091 -0.233956468  8.015108e-01  1.1616013764
##  [43,]  0.485829044  1.903943946 -0.847747850 -3.486334e-03 -0.4780882592
##  [44,] -3.594902619  1.980957249 -0.158479004 -2.636791e-02  0.4356412096
##  [45,]  0.668395536  1.796905836  0.780971651 -6.655706e-01  0.6176258662
##  [46,] -2.325769110 -1.682533513  1.803596970  3.031749e+00  1.9395979590
##  [47,]  1.038568883 -0.116574378  1.012403214 -3.957443e-02  1.4130768405
##  [48,]  1.115065590 -1.133172378 -0.816711245  1.039009e+00 -0.3920769394
##  [49,] -0.122567195  0.202000837 -1.099915201  2.755047e-01 -0.6664367758
##  [50,]  4.353716521  0.397434611  2.930891052 -4.234297e-01 -1.9816499829
##  [51,]  1.275941525 -0.740560677  0.127317492  5.467222e-02  0.3171530173
##  [52,]  1.550773073 -0.882885457  0.585072380  2.873372e-01 -0.0745320907
##  [53,]  1.215658193  0.082981417 -0.414902305  2.101654e-01 -0.7992794354
##  [54,] -2.937703952  1.757758478  0.728717553 -1.024282e+00 -0.6803789333
##  [55,] -2.505575096  0.004527801  1.199478847 -3.558466e-01 -1.4246199149
##  [56,]  2.548801700 -0.998964712 -0.195777351  9.074305e-04 -0.3142285201
##  [57,] -2.547666030  0.449805646  0.868579683 -1.862866e+00 -0.7070804343
##  [58,] -2.361423312 -1.987188256 -1.366489473  1.549474e+00 -0.0661110082
##  [59,] -1.272541325  0.159104577  1.488400464  3.238167e+00  2.6422765365
##  [60,] -0.473681297 -1.978609521 -1.098647588 -8.013898e-01 -0.2869696193
##  [61,]  4.853806684 -0.755909832  2.622470097 -2.982758e-01 -1.5546870700
##  [62,]  0.522305603  1.793253043 -0.114965718 -3.187043e-01  0.4100599103
##  [63,]  2.161297211  0.511217412 -0.371329169  1.431742e+00 -0.7452224647
##  [64,] -0.175456571 -1.193171771  1.089291428  2.580418e-02 -0.2350715240
##  [65,]  0.870625784  1.620623356 -0.215057987 -1.324419e-01  0.1369967515
##  [66,]  0.669185517  0.241896328 -1.011901720 -1.280172e-01 -0.5386692820
##  [67,] -0.440465299 -0.482602512 -0.547956737  1.374110e+00  0.7507896884
##  [68,] -0.609895141  1.249529356 -0.598269521  1.503267e+00  1.6290218194
##  [69,]  1.811883391 -0.649394331  0.043954305 -1.217999e-01 -0.0436711590
##  [70,] -0.351247459 -0.049013225 -0.378027931 -1.084346e+00  0.2115090619
##  [71,]  0.074772124 -0.913156621  0.266497607  1.147461e+00  0.1094790754
##  [72,] -0.431565023 -0.494649650  0.391920510 -5.845412e-01 -0.6726898424
##  [73,] -0.825041632  2.715798126 -0.788320099  8.187880e-01  0.3297255022
##  [74,] -0.931913053 -0.662257376 -0.308754529 -1.275699e+00 -0.0657155039
##  [75,]  0.805006910 -1.261995612 -1.310775428  4.846418e-01 -0.0815224682
##  [76,]  3.181695438 -1.552619002 -1.570629917  6.879683e-01 -1.7124146264
##  [77,]  1.206417524  1.352382043 -1.131404402  8.871006e-01 -0.3671508579
##  [78,]  0.039222595 -0.360521079 -1.317466436  3.801922e-01 -0.4281342595
##  [79,]  1.819437901 -1.129341266  1.322848193 -7.018698e-01  0.7417418711
##  [80,]  1.189413754 -0.597212881 -0.245795929 -2.132702e-01  0.0752365314
##  [81,]  2.115441989 -0.447993425  0.395891649 -7.370304e-01 -0.2741376432
##  [82,]  5.124894255 -0.683148996  2.218416539 -6.740275e-01 -1.7828770273
##  [83,] -0.070370032  0.411005065 -0.392939075  1.361189e+00 -0.9933038163
##  [84,]  1.367831789 -1.218514823 -0.546701273 -3.016284e-01 -0.0229190166
##  [85,] -0.924730974  1.335084711 -1.839533015 -3.491162e-01  2.0154776600
##  [86,] -0.393695970 -1.030277887 -0.044715566  5.245963e-01 -0.0576071826
##  [87,] -1.063161674  1.706784973 -1.585798861  1.010422e-01 -2.3111420916
##  [88,]  0.127602244 -0.934056465 -0.898600559 -1.174438e-01  0.0497315851
##  [89,] -1.254250558  2.319232619 -0.518445254 -6.942362e-01 -1.8224903363
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## [523,]  4.342247728  0.418479802  2.927625932 -8.409589e-01 -1.7697686161
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## [534,]  2.577782987  0.060591035  1.663178295  4.679862e-01 -1.0818317716
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## [547,] -3.100545366  0.904491095  1.376185752  4.537701e-01  0.7297817312
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## [549,] -1.453969196  0.338423280 -0.187855477 -7.059535e-01  0.4231464452
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## [646,] -2.317159104 -1.308318333  0.434597961 -2.365327e+00 -0.5109021798
## [647,] -0.177348791 -0.163525391  1.150976197 -9.629115e-01  0.7891304577
## [648,] -1.067618142 -1.698290073  1.034353474 -1.156835e+00  0.6400117428
## [649,] -1.086502690  1.661907128 -0.339098576 -5.998197e-01 -1.4072831888
## [650,]  1.434697841 -1.102893204 -0.488054241 -6.424893e-01  0.0825312110
## [651,]  1.313700636 -1.310219312 -0.080806768 -4.912460e-01 -0.6966998935
## [652,]  0.165130865 -1.067652582  0.115237322 -1.591837e-01  0.1501925215
## [653,] -0.553864402 -0.366262395 -0.802757834 -4.578377e-01 -0.5931748309
## [654,]  1.646243803 -0.129122148  0.661134540  1.282011e-03  0.7448633932
## [655,]  0.192940193 -1.349280263 -0.786132143 -9.100987e-01 -0.1388756403
## [656,] -2.002555461 -1.873286425  1.564062872 -2.494690e+00 -0.9068939951
## [657,]  1.116538676 -1.208031833 -0.180844304 -7.559850e-01 -1.0284101298
## [658,] -2.384397046 -1.169061313  0.273460662  1.505527e+00 -0.2293703020
## [659,] -0.637040015  3.196876503 -1.462854606 -1.597778e-01  0.5306408822
## [660,] -0.647629729 -1.105173302 -0.205473541  2.629692e+00 -0.1237533272
## [661,] -0.016280254  3.308109303  0.189286044 -7.688274e-01  0.4158387484
## [662,] -2.487272281 -1.377121565  1.028614472  1.586258e+00  1.9990154571
## [663,] -2.919355810  1.030982212 -0.895860598 -1.450261e+00 -0.5443810274
## [664,] -2.174343450  0.724175814 -0.213355153  2.548979e-01 -0.9346848426
## [665,] -0.074536367  0.468978288 -0.682710687 -1.322411e-01 -0.9588677157
## [666,] -0.653533539 -1.498631889 -1.153714067 -7.025660e-01 -0.3650016885
## [667,] -0.625526968  2.528007670 -0.297699472 -3.975721e-01  0.4550246776
## [668,]  0.407386866  1.614519921 -0.706062677 -2.893798e-01 -1.2820932000
## [669,] -0.598934000  0.155158601  0.015643323 -2.857359e-02 -1.5805379391
## [670,] -0.990021278  1.680156734 -0.140711362 -1.019203e+00 -0.6999822178
## [671,] -1.574871006  1.056083728  1.079097146 -2.574420e-01 -0.1495073265
## [672,]  1.695306323 -0.923805129  0.249405880  4.739796e-01  0.3871785416
## [673,] -0.502272520  1.912996440 -2.262704404  6.593622e-01 -1.0805335204
## [674,] -3.166539758 -1.561150169 -1.267945266  7.215277e-01  0.8136397761
## [675,] -0.049326075  3.038618566 -0.530211201  1.232931e+00 -0.1012470858
## [676,]  0.075468416  1.341364154  0.971949023 -1.072546e+00  1.5938390212
## [677,]  0.202273330  3.084913758  0.239489006 -6.161232e-01  0.4368764417
## [678,]  1.646076203 -0.715169406 -0.546194538 -1.251901e-01  0.9571561572
## [679,]  1.407234083 -0.068967834 -0.136675242 -7.680163e-01  0.7798569910
## [680,]  0.422928592 -1.361336443  1.094992492 -1.529236e-01 -0.7709865168
## [681,]  1.787710971 -1.324321012 -0.690014858  3.889774e-01 -1.2280021862
## [682,] -1.411434740 -1.104305091 -1.033280785 -5.082997e-01  1.6201345386
## [683,] -0.491258901 -2.021707301 -1.213252296 -6.062326e-02 -0.0909222857
## [684,]  0.643531068  0.397276516 -0.139304473  3.023837e-01  1.1819492043
## [685,]  1.492335504  3.244013425  1.849669846  4.891956e-01 -0.1549106414
## [686,] -0.771349598 -1.114879973  0.322375099 -2.416409e-01  0.0760122841
## [687,]  1.710641820  0.032011404  0.480424877 -4.825350e-01  0.7956547443
## [688,]  1.498853648 -0.622213805 -0.111943247 -4.917203e-01 -0.0219359561
## [689,] -0.412356524 -1.253150973  1.128935428  1.935243e-01  0.2648937075
## [690,] -2.407488289 -0.457947513 -0.838979959 -7.378372e-01  0.1616535449
## [691,]  0.774523606  1.354276800  0.398307264  1.420964e+00  0.1581995414
## [692,] -1.369204861  3.357722950 -1.346914298 -3.321156e-01  1.0312973069
## [693,] -0.894261844 -1.371693946  0.007274084  9.665692e-01  0.3539503191
## [694,] -1.665246899  0.342665357 -0.434279531 -7.900050e-02 -1.2459795585
## [695,]  2.341942451 -0.201429212 -0.150409982 -3.008128e-01  0.2261079669
## [696,] -2.166713631  0.588480317  0.522171848 -2.154899e+00 -1.3603493480
## [697,] -0.454311389  0.076698136  0.542006262 -1.296130e+00  0.6946494646
## [698,]  3.337369722 -1.275278364  1.642042110 -4.880249e-01 -0.2784622382
## [699,] -0.611821287 -0.080279812 -0.055902568  3.278001e-02  0.6274197642
## [700,] -0.067477321 -0.080406609 -0.050307729  1.364891e+00  1.4445920376
## [701,] -0.814586154 -1.085924563 -0.123637685 -3.770907e-01  0.0306371213
## [702,] -0.374933435  1.296048341 -0.159211828  5.924765e-01 -0.4272018112
## [703,] -1.596261741  0.723914711  0.366736052  8.771368e-01  1.4690186301
## [704,]  1.756862945  0.051422289  1.641959104 -4.842986e-01  0.1522315218
## [705,]  0.538391830 -0.152238558 -0.621484446 -8.538342e-01 -0.2937026304
## [706,] -0.025569357 -0.155388098 -2.149221582  1.588342e-01 -0.7559013209
## [707,]  4.051332060  1.313355359  3.046454539 -5.524353e-01 -2.3309083294
## [708,] -0.258175270 -1.591406119  0.905208968 -1.758202e+00 -0.7496648977
## [709,] -0.004186573  2.558060110  0.052318031 -9.407587e-01  0.7196288861
## [710,] -0.447583358 -1.630357624 -0.273291045  5.650160e-01 -0.4637625050
## [711,] -0.935358746 -0.919441933  1.443403878 -1.961405e+00 -0.1238944613
## [712,] -0.182060365  0.706517388 -0.330936784  1.216385e-01 -0.1130611408
## [713,] -0.909927483  1.057699412 -0.604762023  3.172379e-01 -0.8632999843
## [714,]  0.034140870 -1.690348050  1.160667271 -1.346324e+00 -0.1828998077
## [715,]  1.491271323  0.491463707 -0.688110930 -4.810501e-01  0.5995195897
## [716,] -2.511118742 -0.319309244  2.590541204 -8.254163e-01 -0.9436315732
## [717,] -2.152716849 -0.718865865  1.106018678  3.231652e-01  0.4075815563
## [718,]  0.439332340  2.461680170  0.021799472  1.119237e+00 -1.3467408071
## [719,] -0.635427126 -1.913237953 -0.312695825 -3.441667e-01 -0.8371944098
## [720,] -0.201458724  1.156423720 -1.042658451  5.093855e-01 -0.4445731713
## [721,]  0.757407402  0.318773228 -1.306902024  3.670320e-01 -0.1506322074
## [722,] -0.623733935 -1.808533032 -0.480877153 -8.108083e-01 -0.3426077048
## [723,] -0.520850597 -0.095746102  0.483742723 -8.243987e-01  0.1795262419
## [724,] -1.040924271  0.543641895 -1.155203106 -3.825896e-01 -0.2318665593
## [725,]  0.559188908  0.968724865 -0.981955979 -1.214194e-01  1.3891895829
## [726,] -0.609491220  0.075195753 -1.517912902 -8.372119e-02 -0.2475408441
## [727,] -0.724792982 -1.334020247 -0.349709881 -2.258672e-01  0.1376199664
## [728,] -0.029383730 -0.950753491 -0.558894866 -2.110328e-01  1.2649558736
## [729,]  0.750793925  0.326884503  0.503777556 -9.773032e-01  1.9976947495
## [730,]  2.179171015 -0.490952758 -0.287304734 -4.483084e-01  0.3414928178
## [731,]  0.004674951  0.076536250 -0.173470614 -4.958128e-01  0.1535838152
## [732,]  0.974937640  1.020087108 -0.609160017 -2.750314e-01  0.4671460549
## [733,] -2.243237682 -0.998610048 -0.271735092 -2.767036e-01  1.2811192180
## [734,]  0.395662462 -1.388585892  0.309833961 -3.409127e-01 -0.6412649465
## [735,]  1.117140500  1.366901728  0.324907886  6.495121e-01  0.5658378897
## [736,]  0.513343281 -0.516031246 -0.967169431  9.316834e-02 -0.5739822708
## [737,] -0.126238488 -1.314292545 -0.167748558 -2.113109e-01  0.5665964236
## [738,]  0.455728228  0.992750600 -0.960877394  1.438360e+00 -1.2225916257
## [739,]  0.261047845 -1.329743170 -0.088812767 -1.358487e-01 -0.0915743411
## [740,]  0.685407287  0.475302698 -0.850457225  3.242402e-02  1.1722330025
## [741,] -2.278377382  1.395596953 -0.351736852  9.875549e-01 -1.2460934237
## [742,]  0.941627064 -0.850364140  0.385237221 -1.311161e-01 -0.6050201391
## [743,]  0.990532775 -1.152890760  0.045530686 -7.938976e-01 -0.0906299257
## [744,] -0.479590554  2.364821142  0.029166054  8.828244e-01  0.8493673319
## [745,] -2.940084100  1.428945064  0.401940618  1.584368e+00 -0.7117160986
## [746,] -0.883529466  1.843509349 -0.667428858  5.600112e-01 -1.8372022928
## [747,] -1.732518549 -0.883948037 -1.816848533 -2.417774e-01  1.3911791545
## [748,] -1.279256758 -1.526869053 -0.928343179  2.228727e+00  0.0421440959
## [749,] -1.538174530  0.040070555  1.007229825 -1.329165e+00  0.7847888768
## [750,]  0.810881974  2.228148887  0.938698111 -9.856666e-01  0.5342055596
## [751,]  0.313915576 -0.125621561  1.161435074  1.722043e+00  1.4176893023
## [752,] -0.686663174 -1.076485436 -1.156380038 -4.968229e-01  0.2041032783
## [753,]  1.214175365 -0.451475716 -0.376678469 -3.440475e-01 -0.2607429631
## [754,] -3.536839474 -2.030174014  0.387173126 -2.643623e+00  0.0669143554
## [755,] -0.943422396  1.557927855 -0.162869644 -2.251575e-02 -0.1698955785
## [756,] -1.752981178 -0.808037178 -0.012366183  1.374616e+00  0.4911692938
## [757,] -1.001203786  0.923553213 -0.961882735  5.476746e-02 -0.3245118684
## [758,]  0.546171231  0.975959235 -0.318807144 -3.121721e-01  1.3774254197
## [759,]  1.061503814 -0.267265946 -0.983341993 -3.644062e-01  1.3142064035
## [760,] -1.084444104  3.329631982  0.237571060 -8.282877e-01  1.6980571909
## [761,]  0.926482778 -1.240093311  0.042700341  1.193983e+00 -0.2870976806
## [762,] -1.674875045  1.564698200 -0.404536488 -2.486830e-01  0.2617922172
## [763,]  2.012865700  1.498685290 -0.214542283 -1.964149e-01 -0.8667989053
## [764,] -1.561067382  1.921897914 -0.866842787 -3.906710e-01 -2.5398720121
## [765,]  0.100340070 -0.613781009 -0.763855604 -1.347709e-01  0.4989652391
## [766,]  0.283290637  0.097001817 -0.077141667 -6.871133e-01 -0.5226686533
## [767,]  1.059633773  0.836517204  0.424753643 -2.043597e-01  0.9569693910
## [768,]  0.839344740 -1.151004764 -1.008520943  8.687219e-02 -0.0825969923
##                  PC6          PC7          PC8
##   [1,]  0.3569498928 -0.858262022  0.973669027
##   [2,] -0.4060647160 -0.756541009  0.353983856
##   [3,] -0.0399914575  1.152239401  1.067832066
##   [4,] -0.4122511681  0.029228254 -0.130562776
##   [5,]  1.0776386251 -0.549000452 -0.319143547
##   [6,] -0.4097269708  0.610266380 -0.038551139
##   [7,]  0.4308838429 -0.235591486 -0.075800545
##   [8,]  3.1623236733  0.834229106 -0.235098279
##   [9,] -1.0888274066 -1.357207514 -0.612851240
##  [10,] -3.2331150716 -0.190214370  0.856483255
##  [11,] -0.0287980922  0.654132499 -0.688095344
##  [12,]  1.0102865580  1.482510794  0.251265467
##  [13,] -0.5185188180  0.280844378 -0.125055201
##  [14,] -1.6809822220 -1.212701456 -3.074727031
##  [15,] -0.7386354093 -0.621549506  0.112038761
##  [16,]  2.3859253546  0.167314408 -0.384437923
##  [17,]  0.1319143424 -0.607416985 -0.519278300
##  [18,]  0.0098392375  0.913971973 -0.287964896
##  [19,]  2.1263872496 -1.233983381 -0.202301521
##  [20,] -0.0270916097 -0.546535255 -0.016262388
##  [21,] -0.4118684056  0.336220298 -0.191067558
##  [22,]  0.1317325821  0.083293771 -0.968056294
##  [23,]  0.5550938734  0.731664599  0.329596904
##  [24,] -0.0642522544  0.847134851  1.251723911
##  [25,] -0.0807999965  0.282990032  0.160577385
##  [26,]  0.2265283363  0.492600840  0.204599840
##  [27,]  0.8792228560  0.327215170 -0.366263930
##  [28,] -1.0131764429  0.239117447 -0.334572968
##  [29,] -0.7572224122  0.293322793  0.456091320
##  [30,] -0.3154760671  0.379872819 -0.550538587
##  [31,]  0.2821839133 -1.533160139 -0.213805766
##  [32,] -0.6612436989  0.320333224  0.353455443
##  [33,] -0.2670695422  0.414520551 -0.183144841
##  [34,] -1.4991161600  1.010664702 -0.068912366
##  [35,] -0.1663986471  0.168043768  0.954592341
##  [36,] -0.8235515453 -0.081814924  0.005216571
##  [37,]  0.5240576698  1.508174625  0.055340226
##  [38,]  0.2046548252 -0.167339781  0.600675325
##  [39,]  0.5887907527 -0.448799348  0.485428048
##  [40,] -0.2561638845 -1.401872835 -0.455503444
##  [41,]  0.5655282277  0.217921112  1.059440201
##  [42,]  0.5488053024  0.861238814 -0.505739109
##  [43,] -1.2151027100 -0.292932289  0.319815144
##  [44,] -0.2280264935  0.391066927 -0.738106996
##  [45,]  0.2634623748  0.368120375  0.382642066
##  [46,]  0.7787805128 -0.096407885  1.414608398
##  [47,]  0.3037710987 -0.037638446  0.085985222
##  [48,] -0.4357007637  0.079235295  0.213906605
##  [49,]  1.0819190956  0.326925883  0.382566901
##  [50,] -0.1382210601  0.480040290  1.133944989
##  [51,] -1.6517223740  0.377684100  0.040390725
##  [52,] -0.1674887853 -0.258878454  0.109919408
##  [53,] -0.4123151714  0.164269346  0.256166668
##  [54,] -0.7131011340 -0.441640169 -0.180476090
##  [55,] -0.0873643588  0.041582915 -0.245224779
##  [56,] -0.1865678559 -0.039204952 -0.141693614
##  [57,]  0.4272822081  0.094034205  0.248793831
##  [58,]  0.2180122670 -0.857743599  0.204030228
##  [59,] -0.0242624258 -0.497897789 -0.732289353
##  [60,]  0.7015054567 -0.397596812 -0.127119188
##  [61,] -0.4785730147 -0.251762938  0.717305361
##  [62,]  0.4694237698  0.652331964 -0.172928299
##  [63,] -0.3977560008  0.090002741 -1.137335383
##  [64,] -0.3937618051  0.011207112  0.919861150
##  [65,]  0.5384832884  0.197077513 -0.521389858
##  [66,] -0.1541903765 -0.004706674  0.497135361
##  [67,] -0.7504356573 -0.951881450  0.285608221
##  [68,]  0.0592904995 -0.957619803 -1.441297800
##  [69,] -1.0625669470 -0.083656745  0.157591573
##  [70,] -0.6593339092  0.431376474  0.736389011
##  [71,] -0.0986363809  0.052716730 -0.379459058
##  [72,] -0.1043648635  0.405684743  0.804045308
##  [73,]  0.9696034449  1.638286319 -0.623796054
##  [74,] -0.6061750193  1.008814166 -0.759049774
##  [75,] -0.2346826936 -0.115321778  0.226666429
##  [76,] -0.1571177092 -0.454295433 -0.902736621
##  [77,] -0.0567773576  0.312563788 -1.237500452
##  [78,]  0.6303958288  0.246940025  0.363922994
##  [79,]  3.2949444252 -0.630612845 -0.651047474
##  [80,] -0.3811422674 -0.001926663  0.717167936
##  [81,]  0.2174816959  0.181593676  0.612358389
##  [82,] -0.4585605033 -0.383613968  0.563485774
##  [83,] -0.5160824462  0.359079903 -0.133166875
##  [84,] -0.5030552810 -0.387050507  0.760925582
##  [85,]  0.5284406165  0.674219107 -0.894181588
##  [86,] -0.4049340672  0.046202348 -0.046531452
##  [87,]  1.0380846794  0.149290001  1.272583600
##  [88,]  0.5165389640 -0.032521897 -0.305726288
##  [89,]  1.0909191072  1.167409614  0.476595633
##  [90,] -0.3534872603 -0.143314151  0.442668342
##  [91,] -0.6773859032  0.185607808 -0.232312635
##  [92,] -0.5650994434  0.293878726 -0.639048223
##  [93,]  1.1670350215 -0.335431099 -0.403954399
##  [94,] -0.6098930575 -1.355292344 -0.282681542
##  [95,] -1.1047894777  0.655670483  0.739405079
##  [96,] -0.0443398658  0.047100877 -0.275803601
##  [97,]  0.3141738469 -0.201788466  0.369301813
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## [676,]  0.4364452258  0.890154089  0.860778430
## [677,] -0.5975279401  0.114867143  0.277734364
## [678,]  0.5352703353 -0.083275879 -0.860940405
## [679,]  1.1482475858  0.382011632 -0.383889301
## [680,] -0.9230012676  0.426712890 -0.827137893
## [681,] -0.3908761006 -0.137132514  0.003002738
## [682,]  1.4500616865 -0.401691225  0.739639842
## [683,]  0.9772612800 -0.359357111 -0.301927222
## [684,] -0.1330346398  0.810765913 -0.194833068
## [685,] -3.0626108042 -1.634929784  0.634537848
## [686,] -0.4357406996  0.323547367 -0.262232095
## [687,] -0.3796861403  0.690425189  0.344000289
## [688,]  0.3743607588 -0.612494589  0.284812805
## [689,] -1.2488411829  0.282729865  0.401023898
## [690,]  0.4877438755 -1.406231205 -0.191967594
## [691,] -0.7282962532  1.100604142 -0.108909502
## [692,]  0.2606897666  1.725963633 -0.167282565
## [693,]  0.3758678313  0.260862320  0.137139798
## [694,]  0.6988339214 -0.466481064  0.563685357
## [695,] -0.3657911478  0.188913866 -0.320318832
## [696,] -1.4559828911  0.508120458 -1.484873967
## [697,] -0.2970716604  0.143707441  0.511524791
## [698,]  1.6343183397 -0.534674124 -0.241004062
## [699,] -0.5742799487  0.842309089 -0.633565473
## [700,]  1.1420670527  0.909236389 -0.807238178
## [701,] -0.2496971126  0.230309293 -0.434959284
## [702,] -0.4124502574 -0.753690001  0.783647650
## [703,] -0.3551525823 -1.471949252  0.754622900
## [704,]  2.9440419593 -1.205404556 -0.676504330
## [705,] -0.4997979816  0.377462706  0.009494570
## [706,]  0.6130763501  0.318509112  0.185284936
## [707,]  0.0579672366  0.648330722  1.272825693
## [708,]  0.3876398645  0.358437988 -1.058066348
## [709,]  0.4274850123  0.549495310  0.194581580
## [710,]  0.2965847827  0.163066641 -0.510257932
## [711,] -0.4948974365  0.866718237 -1.028828650
## [712,] -0.2890203905 -0.309395779  0.594524675
## [713,]  1.6018880947  0.400358349  0.778669126
## [714,] -0.7352271158  0.178926080 -0.502303003
## [715,] -0.2117995361  0.110059906 -0.508632535
## [716,]  0.3481294876  0.677754866 -0.096286709
## [717,] -0.3879491049  0.105741257  0.803442773
## [718,] -0.5039859216 -0.378876888  0.097089773
## [719,]  0.2273885508 -0.389271073  0.176432382
## [720,]  0.2460993110 -1.124546747 -0.182419179
## [721,] -0.6658170283 -0.039043383 -0.106032914
## [722,]  0.2579651432  0.044257105 -0.257763076
## [723,] -0.3773328024 -1.125266061  0.334827450
## [724,]  0.0981033165 -0.332256884 -0.268362688
## [725,] -0.7427103720 -0.758904096 -0.843987882
## [726,]  0.5819237324 -0.653343029  0.545118976
## [727,] -0.3253153617  0.070668573 -0.380393799
## [728,] -0.3816039875 -0.001909658  0.899508780
## [729,] -1.1113698241  0.840785836  0.937241223
## [730,]  0.4973816863  0.311536946 -0.518130041
## [731,] -0.5856828111 -0.187509479  0.330439015
## [732,] -0.3676351776  1.773143068  0.136956467
## [733,]  0.4152769588  0.380730288  0.685728640
## [734,] -0.1331157530  0.158042065 -0.109740013
## [735,] -1.0053741459 -1.234407149 -0.622269134
## [736,]  0.7849623075 -0.122426457  0.384229572
## [737,] -1.2255665583  0.168915467  0.383831994
## [738,]  0.1107981232  0.017559701 -0.337516255
## [739,]  0.3774717439  0.457416098 -0.853742374
## [740,]  0.4696969156 -0.755367665 -1.196014337
## [741,]  0.6696589906  0.379769780 -0.238417651
## [742,]  0.6200868256  0.007772446 -0.183916906
## [743,] -0.1274618551  0.055862914 -0.163027334
## [744,] -0.3277869665  0.814966806 -0.163086311
## [745,]  0.4201835181  1.497682576  0.565215171
## [746,] -0.3462272050  0.564553680  0.160932933
## [747,]  0.8492856207 -0.228424908  0.725463006
## [748,]  0.7102183115 -0.610265803 -0.442303602
## [749,]  0.2272668528 -0.066509145  0.141817840
## [750,]  0.0125501830 -0.470373379  0.348286932
## [751,] -0.0217252401  1.197876341  0.087481797
## [752,]  0.2487946032 -0.447960335  0.375881298
## [753,] -0.0973792939  0.012309439  0.709907890
## [754,] -0.5909358623  0.130672179 -0.867174630
## [755,]  0.2486654846 -0.135314001  1.164686607
## [756,] -0.5916915467 -0.643634903  0.223734556
## [757,] -0.2508676678 -0.034151548  1.329355935
## [758,]  0.2421313840 -1.539398295 -0.974515009
## [759,]  0.3123329597  0.206897939 -0.763842284
## [760,]  0.0145268856 -1.012507157 -0.050434007
## [761,] -0.0425110351  0.076695338  0.326885073
## [762,]  1.5081047064  0.210255898  0.926381513
## [763,] -0.1290104205  0.928422785 -0.190214022
## [764,] -0.0772713570 -1.140613537 -0.138500074
## [765,]  0.5289939485 -0.152010309  0.467227243
## [766,] -0.5379193778  0.335344678  0.289250403
## [767,]  0.1532072800 -1.179539450 -0.533995863
## [768,] -0.1499986405 -0.245075649  0.515610204
# Identifying the scores by their survival status
diabetestyp_pca <- cbind(data.frame(Outcome),diabetes_pca$x)
diabetestyp_pca
##     Outcome          PC1          PC2          PC3           PC4           PC5
## 1         D -1.067806862  1.234090757  0.095867368  4.966665e-01 -0.1099132790
## 2        ND  1.120952811 -0.733373746 -0.712473852  2.848706e-01 -0.3892535190
## 3         D  0.396218504  1.594836615  1.759531796 -7.034879e-02  0.9058835066
## 4        ND  1.115054156 -1.270413093 -0.663296973 -5.787458e-01 -0.3558278959
## 5         D -2.357797682 -2.183396333  2.961176841  4.030472e+00  0.5922982735
## 6        ND  1.434816261  0.835032943 -0.220188660 -4.475530e-01  0.4436833028
## 7         D  0.929569845 -1.107218102 -0.536228863 -1.445658e-01 -1.2508762973
## 8        ND  2.148406325  0.855344470  1.253824488 -6.378529e-01 -1.2338619618
## 9         D -3.295777171 -0.241996927  1.869642773 -3.032619e+00 -1.1020611752
## 10        D  1.838652045  3.204572290  0.660301809 -3.767756e-01 -0.5097192236
## 11       ND  0.532206965  0.647185445 -1.365946780 -2.870690e-01  1.1840699108
## 12        D -0.447648966  1.927673986  0.417177197 -3.139047e-02  0.9789396898
## 13       ND -0.703519595  2.847065556  1.656130591  2.692405e+00  0.4207182669
## 14        D -3.784640161 -0.524980983  3.616694044 -3.319283e+00 -1.4681925451
## 15        D -1.007494805  1.275379750  1.424970355 -4.720614e-01 -0.0179935763
## 16        D  2.414600089  0.342270472  1.766003072  3.427586e-01 -1.1007290421
## 17        D -2.209870937 -1.753589136 -0.939557406 -1.260106e-01 -0.0157632755
## 18        D  1.179817980  1.120506726 -0.467570771 -1.192156e-01  0.1684562364
## 19       ND  0.154019940 -1.391740693 -0.318005055 -5.744737e-01 -0.8047995321
## 20        D -0.333030410 -0.877046036 -0.246559627  1.362972e-01  0.1084890755
## 21       ND -2.035423962 -1.213617776 -0.368010376  1.432944e-01 -0.2025569494
## 22       ND  0.292214484  2.227179832 -0.834633612  5.264897e-01  0.1382160610
## 23        D -1.125944080  2.081456071  0.245693105 -5.728048e-01  2.0435188731
## 24        D -0.059816990  0.765744394 -0.960672312 -1.159440e-01 -0.9049779357
## 25        D -1.986235966  2.172673898 -0.767974598 -6.168958e-01 -0.9420038087
## 26        D -0.446739972  1.444374350 -0.225433603 -6.264237e-01 -1.2640520804
## 27        D -0.115431584  1.863873590 -0.306591210 -4.723917e-01  0.9900508460
## 28       ND  1.066311830 -1.162867506  0.357049964 -6.075180e-02 -0.1839095928
## 29       ND -0.610206498  3.296004903  0.376474491 -6.373178e-01 -1.3833910655
## 30       ND  0.354706149  1.274696465 -0.864670362  4.033645e-02  1.0110643778
## 31       ND -0.597672485  1.588193453 -0.571995163  8.262329e-01 -0.2566604700
## 32        D -1.801059862 -0.973944510  1.088018517 -1.482012e-02 -0.0197674938
## 33       ND  1.772412677 -0.604472895 -0.113848222 -2.132337e-01 -0.3799579053
## 34       ND  1.728014295  1.023870122 -0.841476865 -1.516382e-01  0.0882989840
## 35       ND -0.379868758  1.793043724 -0.313540252  5.686280e-01 -1.0175377867
## 36       ND -0.325085475 -0.752537890  1.142872973  1.080096e+00 -1.2318541889
## 37       ND  0.199737520  2.116944330 -0.007353667  5.672587e-02  0.2283670467
## 38        D -0.669707496  1.292634455 -0.673243978  1.233193e+00 -1.1692337748
## 39        D -0.095994098 -1.197090540 -1.251479711  7.194905e-01 -0.3564861069
## 40        D -2.573770162 -0.029216804  0.863457833  2.296661e+00 -1.0248751718
## 41       ND -0.514649628 -0.281067211  0.513311815 -1.277694e+00  0.8469551206
## 42       ND -0.395481909  1.375073091 -0.233956468  8.015108e-01  1.1616013764
## 43       ND  0.485829044  1.903943946 -0.847747850 -3.486334e-03 -0.4780882592
## 44        D -3.594902619  1.980957249 -0.158479004 -2.636791e-02  0.4356412096
## 45       ND  0.668395536  1.796905836  0.780971651 -6.655706e-01  0.6176258662
## 46        D -2.325769110 -1.682533513  1.803596970  3.031749e+00  1.9395979590
## 47       ND  1.038568883 -0.116574378  1.012403214 -3.957443e-02  1.4130768405
## 48       ND  1.115065590 -1.133172378 -0.816711245  1.039009e+00 -0.3920769394
## 49        D -0.122567195  0.202000837 -1.099915201  2.755047e-01 -0.6664367758
## 50       ND  4.353716521  0.397434611  2.930891052 -4.234297e-01 -1.9816499829
## 51       ND  1.275941525 -0.740560677  0.127317492  5.467222e-02  0.3171530173
## 52       ND  1.550773073 -0.882885457  0.585072380  2.873372e-01 -0.0745320907
## 53       ND  1.215658193  0.082981417 -0.414902305  2.101654e-01 -0.7992794354
## 54        D -2.937703952  1.757758478  0.728717553 -1.024282e+00 -0.6803789333
## 55       ND -2.505575096  0.004527801  1.199478847 -3.558466e-01 -1.4246199149
## 56       ND  2.548801700 -0.998964712 -0.195777351  9.074305e-04 -0.3142285201
## 57        D -2.547666030  0.449805646  0.868579683 -1.862866e+00 -0.7070804343
## 58       ND -2.361423312 -1.987188256 -1.366489473  1.549474e+00 -0.0661110082
## 59       ND -1.272541325  0.159104577  1.488400464  3.238167e+00  2.6422765365
## 60       ND -0.473681297 -1.978609521 -1.098647588 -8.013898e-01 -0.2869696193
## 61       ND  4.853806684 -0.755909832  2.622470097 -2.982758e-01 -1.5546870700
## 62        D  0.522305603  1.793253043 -0.114965718 -3.187043e-01  0.4100599103
## 63       ND  2.161297211  0.511217412 -0.371329169  1.431742e+00 -0.7452224647
## 64       ND -0.175456571 -1.193171771  1.089291428  2.580418e-02 -0.2350715240
## 65        D  0.870625784  1.620623356 -0.215057987 -1.324419e-01  0.1369967515
## 66       ND  0.669185517  0.241896328 -1.011901720 -1.280172e-01 -0.5386692820
## 67        D -0.440465299 -0.482602512 -0.547956737  1.374110e+00  0.7507896884
## 68       ND -0.609895141  1.249529356 -0.598269521  1.503267e+00  1.6290218194
## 69       ND  1.811883391 -0.649394331  0.043954305 -1.217999e-01 -0.0436711590
## 70       ND -0.351247459 -0.049013225 -0.378027931 -1.084346e+00  0.2115090619
## 71        D  0.074772124 -0.913156621  0.266497607  1.147461e+00  0.1094790754
## 72       ND -0.431565023 -0.494649650  0.391920510 -5.845412e-01 -0.6726898424
## 73        D -0.825041632  2.715798126 -0.788320099  8.187880e-01  0.3297255022
## 74       ND -0.931913053 -0.662257376 -0.308754529 -1.275699e+00 -0.0657155039
## 75       ND  0.805006910 -1.261995612 -1.310775428  4.846418e-01 -0.0815224682
## 76       ND  3.181695438 -1.552619002 -1.570629917  6.879683e-01 -1.7124146264
## 77       ND  1.206417524  1.352382043 -1.131404402  8.871006e-01 -0.3671508579
## 78       ND  0.039222595 -0.360521079 -1.317466436  3.801922e-01 -0.4281342595
## 79        D  1.819437901 -1.129341266  1.322848193 -7.018698e-01  0.7417418711
## 80       ND  1.189413754 -0.597212881 -0.245795929 -2.132702e-01  0.0752365314
## 81       ND  2.115441989 -0.447993425  0.395891649 -7.370304e-01 -0.2741376432
## 82       ND  5.124894255 -0.683148996  2.218416539 -6.740275e-01 -1.7828770273
## 83       ND -0.070370032  0.411005065 -0.392939075  1.361189e+00 -0.9933038163
## 84       ND  1.367831789 -1.218514823 -0.546701273 -3.016284e-01 -0.0229190166
## 85        D -0.924730974  1.335084711 -1.839533015 -3.491162e-01  2.0154776600
## 86       ND -0.393695970 -1.030277887 -0.044715566  5.245963e-01 -0.0576071826
## 87       ND -1.063161674  1.706784973 -1.585798861  1.010422e-01 -2.3111420916
## 88       ND  0.127602244 -0.934056465 -0.898600559 -1.174438e-01  0.0497315851
## 89        D -1.254250558  2.319232619 -0.518445254 -6.942362e-01 -1.8224903363
## 90       ND  1.364510297 -0.686108737 -0.580223589 -5.224337e-01  0.2659174268
## 91       ND  2.860849848 -0.659003548  0.109405594 -9.833383e-02  0.0567777890
## 92       ND -0.434536840  0.098744831  0.059126316 -3.647119e-01  0.0558848655
## 93       ND -1.030132797  0.439057822 -2.119784433  3.711873e-01 -1.0613143128
## 94        D  0.824778520  2.315939695  0.476393605 -3.443025e-01  0.5043564083
## 95       ND  0.088602534 -0.659673362  0.585336921  3.719037e-01  0.8959647754
## 96       ND -1.203699256  0.488161047  0.258550299 -1.158645e+00 -0.6419232193
## 97       ND  1.110503746 -0.888241332 -1.051569301 -3.580891e-01 -0.3197799402
## 98       ND  2.174075436 -1.302282173  0.156930478 -1.424174e-02 -0.9164136866
## 99       ND  0.870697294 -0.571714661 -0.141104731  4.363343e-02 -1.3290554535
## 100       D -2.520269744 -1.526750087 -1.614189430 -6.375237e-01 -0.0456079892
## 101       D -0.605897383 -0.022464417  1.277581527  1.534861e+00  2.4315584156
## 102      ND  1.541380328 -0.232805053  0.591997095 -1.126837e+00  1.3639946292
## 103      ND  1.384987740 -0.245772044 -0.513251869 -5.395637e-01  1.6595784355
## 104      ND  1.384236521 -0.900613956 -0.789945487 -8.318970e-03 -0.0894787023
## 105      ND  0.750269746 -0.554032599 -0.121879292  1.757990e+00  1.0035989926
## 106      ND -0.090423704 -1.656362048  1.036296848  3.619241e-01 -0.0951822170
## 107      ND  1.169450490  0.357779017 -1.689793504 -1.764191e-01  1.4571290044
## 108      ND -0.285866499  0.059642834  0.606222583 -9.450216e-01 -0.4643583082
## 109      ND  0.766913824 -0.958310839 -0.916807078  2.633443e-01 -0.6539940078
## 110       D  0.240858697 -1.139123252 -1.599568793 -1.599945e-01  0.6079179761
## 111       D -0.886119674 -0.632025411  0.156183577 -1.517106e+00  0.3809649500
## 112       D -2.551470358  0.454496729  1.893762347 -1.330257e+00 -1.6548224467
## 113      ND  0.609145897 -1.223646844 -1.367182672 -2.544447e-01 -0.2611970280
## 114      ND  1.635396963 -0.114332851 -0.638840409  5.045909e-01  0.1830415834
## 115       D -1.101769999  0.459824889  1.342495162 -4.075638e-01 -0.8275326021
## 116       D -0.349751995  2.432752175  0.108000806  2.774375e-01  1.3413494169
## 117       D  0.704722972  1.186172870 -0.412619267 -3.953237e-01  0.7626604365
## 118      ND  1.635474439 -0.153289260  0.131491028  1.122463e+00 -0.0806746377
## 119      ND  1.120789767 -0.600856224 -0.303853416  3.612053e-01 -0.3875445369
## 120      ND  1.309804877 -0.290150984 -0.513581414 -3.853496e-01 -0.2269880738
## 121       D -2.852482401 -1.982510006 -0.694287597  2.479874e-01  0.9751800638
## 122      ND  0.128750959 -0.371042075 -0.957627423 -1.258117e-01 -0.7792623352
## 123      ND -0.051322575 -1.131145429 -0.641618241 -1.149784e-01 -0.0872855756
## 124      ND  0.413265878  3.027319256  0.022830006 -4.259932e-01  0.4493878339
## 125       D  1.238673539 -0.539753986 -0.597535704 -3.198068e-01  1.4797345363
## 126       D -0.640693712 -2.225974145 -0.722947309  4.009471e-01 -0.6400894644
## 127      ND -0.997162300 -0.765715274 -0.561625072 -1.468432e-01  0.0390155914
## 128      ND  0.140354396 -1.454778455 -0.314213033 -6.536633e-01 -0.2835733434
## 129       D -0.738010497 -0.207054683 -0.591674788 -2.692880e-01  0.3555060930
## 130       D  0.462914182  1.449309490  0.166784985  1.168867e+00  1.1301657755
## 131       D -0.589838227  0.321003662  1.051022506 -1.232060e+00  0.5761545332
## 132       D  0.305784727  1.124897558  1.209538719  1.888115e+00  0.2111820534
## 133       D -1.473100199 -0.749149498  0.754812270 -1.351836e+00 -0.1228859063
## 134      ND -0.229455833  0.762390417 -1.352648107  8.878057e-01 -0.9777496246
## 135      ND  1.324287971 -0.554421694  0.378290315  6.657069e-01 -0.0173980908
## 136      ND  0.224406143 -0.509101262 -0.096145117 -1.273686e+00 -0.0587392008
## 137      ND  0.520940756 -1.508434995 -0.344071227  5.108460e-01  0.2964438246
## 138      ND  0.818649350 -1.608519400 -0.014447406  2.687423e-01 -0.1711825117
## 139      ND  0.639795330 -0.227730252  0.216396611  5.808364e-01  1.8113528333
## 140      ND -0.998901308 -0.789327384 -0.394716087 -1.272970e+00 -1.2496276242
## 141      ND  1.071380114  1.938105248  0.306636294 -3.463068e-01  0.6161519418
## 142      ND -0.419093149  0.445157584 -1.510497907  1.303552e-01 -0.0813066535
## 143      ND  0.745653455 -1.177960515 -0.135191604 -3.183594e-01 -0.2688699927
## 144       D  0.841540949  2.116588113 -0.277857098  4.778024e-02 -0.3817392550
## 145      ND -1.022081681 -0.986328617  0.711526032 -1.678149e+00 -0.5579781128
## 146      ND  2.460769206 -0.875194685  0.826444580  3.722259e-01 -0.3455963436
## 147      ND  0.363795951  1.032761565 -2.213817739  3.511825e-01 -1.9202952211
## 148      ND -0.883619488 -1.123771537  1.116288382  2.374565e+00 -0.3230398210
## 149      ND -0.088258646  2.778736877 -0.002761760 -5.182200e-01  0.9046205983
## 150      ND  1.606502333 -0.628110717 -1.012547279 -4.904386e-01 -0.0127760062
## 151      ND -1.544333905 -1.786077187 -0.381990879 -7.545209e-01 -0.3369688734
## 152      ND  1.570467614  0.894086607  0.520044536  1.262005e-01  0.3028206920
## 153       D -2.297422500  1.109500933  1.022592755  1.390922e+00 -0.1319545762
## 154      ND -3.144103916 -2.262394073  0.808940128 -1.078302e+00 -0.3385385168
## 155       D -1.084046909  2.217625038 -0.312789033 -1.205254e+00  1.7103741669
## 156       D -2.168322840  0.554855447 -1.647676546 -1.651266e-01  0.3550635044
## 157      ND  1.251713809 -1.134631373  0.760818842  4.179868e-01 -0.2861176852
## 158      ND  0.544139309 -1.406851287  1.072300421  6.782954e-01 -0.1667112492
## 159      ND  1.086425606 -0.832769057 -0.917184765 -2.358560e-01 -0.0882238288
## 160       D -2.790369002  2.559428876  0.410514713  7.480901e-01 -1.6394096556
## 161      ND -0.714682333  0.440406305 -0.741093833 -4.791422e-01  0.3138084953
## 162      ND -0.888478417  0.692284400 -1.154546820 -2.689332e-01 -1.3479812886
## 163      ND -1.462782814 -1.711636327 -0.987263255 -1.286269e+00 -0.0629454417
## 164      ND  1.077850916 -0.943310323 -0.536145961  1.023821e-01  0.0366246311
## 165       D  0.360297944 -0.002387987  0.077473779  7.002159e-01  1.9755013522
## 166       D -0.398162383  0.565346012  0.342102565  7.040794e-01 -0.6683348981
## 167      ND  0.271399127 -0.470263902 -0.191221556 -7.268423e-01  0.6084204651
## 168      ND  0.823796489  0.596281901  0.514408394  7.902112e-01  0.8164960893
## 169      ND  1.130675366  0.317231747 -0.025336502  2.974160e-01  0.6710262557
## 170      ND  0.265850050 -0.009007947 -0.429673544  1.585327e-01  0.5278675735
## 171       D  1.038069756  1.268823959 -0.878023779 -2.045521e-01  0.3375380302
## 172       D -0.698503378  0.005809199  0.176802986 -8.416001e-02 -0.1501294213
## 173      ND  2.075747585 -1.549996055  1.636031878  1.119486e+00 -1.1537751526
## 174      ND -0.334425214 -1.957064002 -1.087064917  1.117932e+00 -0.3851588403
## 175      ND  0.946324876 -0.587377492 -0.676832533  3.315896e-01 -0.6349578586
## 176       D -1.996697468  0.565552446  0.889328814 -8.495203e-02 -0.4110324742
## 177      ND  1.032526444  1.375366383 -0.732024654  5.461763e-01  0.0519470981
## 178       D -3.370928818 -1.659412001 -3.088090738 -3.577319e-01  1.5634623347
## 179      ND -0.360862134  1.672717765 -0.731726528 -5.701786e-01  1.3663371069
## 180       D -0.394469168  0.905599398  0.175656870  1.432490e+00  1.4249434033
## 181      ND  1.841098399  1.089785956 -0.844503669 -3.381281e-01 -0.1567465137
## 182      ND  0.087727432 -1.381056313  0.333862859  4.687118e-01  0.7494989906
## 183      ND  2.326303042 -1.505418545 -2.158952310  1.107762e+00 -1.1779913727
## 184      ND  2.150869054  0.269611404 -0.448851652  2.143198e-01 -0.3300434013
## 185      ND  0.847420146  1.281137936  0.177981864 -6.053047e-01  0.9363093244
## 186       D -1.480735786  1.220501694  0.971281540  1.687280e-01  0.7663396232
## 187       D -3.329421351  1.207116262  2.322003762 -1.378506e+00 -1.7090925092
## 188       D -1.688139018 -0.892214143  0.055355928  2.175636e+00  0.7440975465
## 189       D -0.643513018  0.146508445 -0.162812751  5.915774e-01 -1.3605653787
## 190       D -0.918940898 -0.458926714 -0.201761656 -7.104425e-01 -0.3742449168
## 191      ND  2.167413320 -0.073406761  0.049361772 -6.902825e-01  0.4156877141
## 192      ND -1.036885964  0.787742426 -0.457597803 -8.567254e-02 -1.5047095626
## 193       D  0.453893426  1.533620869  0.678714369 -4.396508e-01  0.8172148335
## 194       D  0.342057106  1.339625023  1.413264670  4.326235e-01 -0.4790125982
## 195      ND  1.423364595  1.270800602 -0.410984118 -9.009234e-02 -1.5390396524
## 196       D -2.123341101 -0.452498356 -0.265622604 -9.138514e-01 -0.1377472642
## 197      ND  2.257604443 -0.534855092  0.060790425 -5.490748e-01  0.6135653195
## 198       D  1.188321102 -0.565937032  0.637185051  6.083144e-01  0.0001398015
## 199       D -0.876867074 -1.193625819  0.064174163  1.201995e+00 -0.7431667154
## 200       D -0.850238032 -0.655731698  0.849831399 -1.916331e+00 -0.8076385805
## 201      ND  0.401873780 -1.130378982 -0.074588558  1.201734e+00  1.2184227609
## 202      ND  0.341919843  0.021793532 -0.736560629 -6.237957e-01  1.9616107586
## 203      ND  0.674175717 -0.694937821  0.251087574  1.062292e+00  0.5673329548
## 204      ND  1.546153277 -0.357116710 -0.192576292 -3.794938e-01 -0.1972073613
## 205      ND -1.220806583  0.961106506 -0.515230913 -2.225761e-01 -1.2708426376
## 206      ND  0.741203385 -0.006299289 -0.327046288  1.651511e-01 -0.4716714792
## 207       D -3.023547327  1.728909911  1.424418547 -9.018374e-01 -0.2315257685
## 208       D -0.711918824  2.394850360 -0.856915316 -8.527797e-01  1.7889730331
## 209      ND  0.590341656 -1.429575269 -0.660139545 -3.006003e-01 -0.1809708315
## 210       D -1.451776157  1.362838007 -0.183757099 -6.306574e-01  0.5847954111
## 211      ND  1.524408539 -0.798492909 -0.673240968  1.430547e-01 -0.4072946419
## 212      ND -1.476209193 -1.497541356 -1.456294851 -2.804246e-01  0.8075364284
## 213      ND -1.629170272  2.571396969 -0.599939733 -9.147726e-01  0.4720246292
## 214       D -0.771167443 -1.443937647 -0.126031852 -5.716152e-01  0.8453578915
## 215       D -1.002334326  0.732166622 -0.760254998 -4.899597e-01 -1.3074025903
## 216       D -2.818925025  0.814352868  0.586299540  5.812671e-02 -1.4992181720
## 217       D -0.629450744 -0.960782281 -0.315530971  1.388445e-01 -1.0167448065
## 218      ND -0.383174371  0.070107786  0.131971152 -1.439419e-01 -0.7287664338
## 219       D  0.145265129 -0.106416359  0.192588607  2.606138e+00 -0.2207489934
## 220       D  0.699219839  1.139395603 -0.468525076 -1.195281e-01  0.5610757280
## 221       D -2.543852987 -2.401781864  2.711901075 -5.632896e-01  0.1636594178
## 222       D -0.708232561  2.287356318  0.708131254  7.743010e-01  1.8273469032
## 223      ND  2.596568115  0.872321373  1.936828061 -5.918535e-01 -1.1236716662
## 224      ND -1.430121506  1.511639494  1.290222755  1.649829e-01 -1.2873929816
## 225      ND  1.110032739 -0.823736396  0.396796967  6.337139e-01  0.1531238059
## 226      ND  0.704675275 -1.121763411 -1.643526052 -4.367407e-01  0.0582301745
## 227      ND  1.263454864 -0.448019624 -0.968710457 -3.348542e-01  1.3249809185
## 228       D -0.625286217 -0.898139930  0.522123475  1.270589e-01  0.4533835186
## 229      ND -5.723425277 -2.242272812  4.951631517  1.762248e+00 -0.6173434502
## 230      ND -0.484292298 -1.270403536 -1.743568730 -8.344906e-01  0.8027695273
## 231       D -0.352575509  0.092980635 -0.482987818  4.283561e-01  1.9931908446
## 232       D -2.833505109  0.158008418 -0.391613319 -1.339184e+00 -1.0524232833
## 233      ND  0.935797302 -1.175337325 -0.719091839  8.004652e-01 -0.0996200523
## 234      ND  0.831133863  0.390221597 -0.148001751 -2.120423e-02  0.9516501931
## 235      ND  1.004846592 -0.939409902 -1.059485157  1.653517e-01 -0.7500548344
## 236       D -0.357568649  0.395181670  0.155671526 -3.750645e-01  2.0689094930
## 237       D -2.188788161  1.615892863  0.859736213 -5.598021e-01  0.3334737829
## 238       D -1.529886734 -0.897987274 -0.383479173  5.040728e-02  2.3482168813
## 239       D -0.919069509  1.266020994  0.475031898  7.528202e-01  0.4826097211
## 240      ND  1.887785162 -0.298861326  0.377676367  4.817585e-01  0.9427020653
## 241      ND  1.371452616 -1.118082430 -0.886036118 -2.516180e-01 -0.0637786453
## 242      ND  0.144905386 -0.981145733 -0.766280634  2.611056e-01 -0.6873340764
## 243       D  1.570804282 -0.078441843  0.889108832 -3.868409e-01  0.8695979957
## 244       D -0.513546360 -0.313670056  2.081000913  1.825912e+00 -0.8387980886
## 245      ND -1.364151827 -0.923119313 -0.196831599 -9.970105e-01  0.1443823600
## 246       D -1.570524540  2.275841243  1.474393525  1.547166e+00  0.9292111278
## 247      ND  0.729282028  2.179546569 -0.097922488 -1.729260e-01 -0.1779671341
## 248      ND -4.348585119 -2.588372489  0.594008365 -2.419009e+00  0.0831212989
## 249      ND -1.864211408  0.039682179  0.356573408 -1.311926e+00 -1.9845721444
## 250      ND  0.808992634 -0.584089628 -1.220061613 -5.578681e-01  0.7461930809
## 251      ND  1.145212324  1.772050552  0.280357796  2.722122e-01 -0.5064553847
## 252      ND  1.048494921  0.252517709 -0.315772083 -4.478586e-01  1.3611362133
## 253      ND  1.294220879 -0.508104951 -0.723495703 -2.306369e-01  0.0304141367
## 254      ND  0.692816927 -1.340377472 -1.402372955  3.149943e-03  0.0189775195
## 255       D -0.423168470  1.562892960  1.328547991  1.144702e+00 -1.8921924774
## 256       D  0.258794131 -1.412904905 -0.470995583  4.094703e-01  0.1889186209
## 257      ND  0.283307307 -0.716004781 -0.109771144  5.349396e-01 -0.5714041610
## 258      ND  1.074294433 -0.482724492 -0.716377801 -7.425245e-01  0.1700826117
## 259      ND -1.056676322 -1.315462990  2.984896857 -1.579067e+00  0.3360182751
## 260       D -2.384664410  1.799686348  1.580142224  1.898057e+00 -0.6396661950
## 261      ND -0.654938533  0.345885171  1.118006711 -1.513436e+00  1.0365886109
## 262       D  1.920947255 -0.505345952  2.711743832  3.951892e-01  0.2084841563
## 263      ND  0.315978144 -0.710690345 -0.689122137  9.007265e-01 -0.3547499193
## 264      ND -0.278426919  2.023672220 -0.323651600 -5.276346e-01  0.6594617930
## 265       D  1.138583995  0.755592761 -0.010936093 -4.580090e-01  0.6517196294
## 266      ND -0.396109443  0.496097609  0.171392702  1.780786e+00 -0.1762581802
## 267       D  1.604239906 -1.299916970  2.602415749  8.248265e-01  0.8712796561
## 268      ND -1.029861681 -1.429933307  0.095349906  1.726125e+00  0.4319070954
## 269      ND  2.487365107 -0.754493850  0.007535860 -8.212579e-01  0.5955735525
## 270       D  2.449583605 -0.377618402  2.228774704 -1.013871e+00  0.1445784967
## 271       D -1.859496551  0.800100749 -0.986709806  2.521808e+00 -0.5030031943
## 272      ND  1.011133279 -1.081872012 -0.441453661 -7.876934e-01 -0.5557144285
## 273      ND  1.300248121  1.094723094  0.017338898 -3.835439e-01  0.7239952250
## 274      ND  0.053085819 -1.868877427 -1.704841729  5.729870e-01 -0.8372644858
## 275      ND  0.422971031  3.184751467 -0.475529272  1.764349e-01 -0.8092946837
## 276      ND -0.987293380 -1.654893625 -1.033782892  8.908928e-01 -0.4987975263
## 277       D  0.967863061  0.401298293 -0.268064946 -1.745229e-02 -0.8831058013
## 278      ND  0.672019487 -1.428217428  0.081521447 -1.327641e-01 -0.0204588749
## 279      ND  0.601392509  2.057849576  0.665362971  1.102726e+00  0.3374683041
## 280      ND  0.142110516 -1.333076710  1.521248843  3.872329e-01 -0.2850039264
## 281       D  0.550939468 -0.232822514 -0.054502907 -5.520057e-01  1.9809021680
## 282      ND -0.991806619  1.271659926 -0.477282922 -4.668830e-01 -0.9864280416
## 283      ND -0.666962274  1.023409817 -0.324665062 -7.669672e-01 -0.1034214699
## 284       D  0.050145596  2.395306506 -0.059968545 -8.890211e-01  1.0041980178
## 285       D  1.037846818  1.441479198 -0.339272315 -1.122103e-01  0.7135876059
## 286      ND -0.854568820  1.400235466  0.770922027  2.514577e-01 -0.7694996959
## 287      ND -3.660757991 -1.069959339  0.981530916 -1.296883e+00 -1.2696944440
## 288       D -2.203921638 -1.562348244 -0.561769811  5.355827e-01  0.2714239000
## 289      ND  1.628900572 -0.282282303  0.255304323 -8.609305e-02 -0.7459913597
## 290      ND -0.601353598 -0.284537166 -1.085141132 -2.319331e-01 -0.9159718893
## 291      ND  0.195126195 -1.515900456 -1.731029892  5.100020e-01  0.3558687858
## 292       D -0.147713228 -1.603943043 -0.041198112  8.020986e-01  0.2753661468
## 293       D -2.246907916 -1.307105910  0.368415014  1.576389e+00  0.3595350813
## 294       D -1.139278834 -2.069366120  0.403025534 -1.505402e-01 -0.5342192401
## 295      ND  1.097979075  1.845664858  1.584852255 -8.856980e-01  0.9741885793
## 296      ND -1.052941806 -0.231696616  0.683642897  9.917890e-02 -0.1855392845
## 297       D -1.383734403 -1.276115847  0.888084735 -1.560565e+00 -0.8734439357
## 298      ND -0.746556107 -1.467431707  0.009617068 -4.476086e-01  0.2654623412
## 299       D -1.242062178  2.076998371 -0.561483425  1.852971e-01 -2.0298391921
## 300      ND  0.528107199  2.590669651  0.871351627  1.432835e+00 -0.1653589823
## 301       D  1.469575172 -0.792364249  3.119518594  2.246242e-01  1.0853324783
## 302       D -0.357192734 -1.095835455  0.528222494 -6.845097e-01 -0.0921481818
## 303      ND -0.155597513 -0.096032168 -1.995434679  2.530238e-02 -1.1050831694
## 304       D -0.537036501  0.599529739 -2.154147668 -1.717099e-01  1.7339718976
## 305      ND  1.196753312  1.112744097  0.493604364 -8.934512e-01  1.0451479684
## 306      ND -0.756556787 -0.889795085 -1.085067976 -6.698356e-01 -0.0211200501
## 307       D -0.712447604  1.990511587  0.904745246 -8.435520e-01 -0.9241513592
## 308      ND  0.778910488 -1.045483278  0.399688559 -1.472162e+00  0.5173180739
## 309       D -0.782485311 -1.589857602  1.682621751  1.759573e+00  0.7339736740
## 310       D -0.952378029 -1.077658932  0.802468181  5.518195e-01 -0.1131440366
## 311      ND  0.849855650  0.646522305 -0.787306279  4.324237e-01 -1.3180162713
## 312      ND -0.742391188 -1.978246681 -0.511685775  2.482751e-01  0.0223155409
## 313       D  0.042293968 -0.300610255  0.627661764 -6.912361e-01  0.7709278859
## 314      ND  0.911254518 -0.625188754  0.851671958  3.044098e-01  0.0392648541
## 315       D -1.087295063  0.774221186 -0.137154823  2.258784e+00 -0.2422852482
## 316      ND  0.235533677 -0.796700197 -0.420899803 -3.987636e-01  0.1026997864
## 317      ND  1.356924566  0.128980729 -0.206441836 -2.652851e-01 -0.1217034659
## 318       D  0.317965521  0.673266619  0.710469244 -9.404735e-01  1.9073329557
## 319      ND -0.572826301 -0.961913937 -0.830952820 -8.935934e-01 -0.6367538543
## 320       D  0.054205879  3.057564728  0.994608751 -1.418308e+00  1.1449775327
## 321      ND -0.021358713 -0.247497463  1.202812866 -5.100139e-01 -0.3555628030
## 322       D  0.476607673 -0.502687188 -1.030542766 -3.729549e-01 -0.0121325406
## 323       D  0.802506443 -0.182678348 -0.245938528 -4.504832e-01  0.6078861468
## 324       D -1.350179874  2.318295031  0.147051257  7.459871e-01 -0.8764833907
## 325      ND  0.313333278 -0.956555961 -1.361961413 -5.088605e-01  0.2359199683
## 326      ND  0.071976094 -0.756157055  0.488312644 -1.760350e+00  0.4519423264
## 327       D -0.717241570 -1.240129288  0.344750531  2.544177e-01 -0.0392803776
## 328      ND -0.117526758  2.269149668  0.400521396 -1.031587e+00  0.8287278652
## 329       D -0.909867303 -1.263066127 -1.986084807 -6.794944e-01  0.0814135110
## 330      ND  0.115938101  0.431391042 -0.849656509 -5.473894e-01 -1.0356498137
## 331      ND -0.358239572  1.366783078  1.453772078  2.926422e+00 -0.3334771188
## 332      ND  1.271641045 -0.791474973 -0.680385100 -3.887751e-01 -0.2109781663
## 333       D  0.910785738  0.099438426  2.143161307 -1.175892e+00  1.1834243662
## 334      ND  1.110533507  2.859114615 -0.462023202 -2.259910e-01 -0.8060157577
## 335      ND  1.574593043 -1.040079880 -0.119417443 -3.630842e-01 -0.2192364823
## 336      ND -2.420691208 -1.728094564 -0.407888666 -1.579658e+00  0.5895848117
## 337      ND  1.686609351 -0.379207645  2.530086197  1.185900e+00  0.3077690043
## 338       D  0.737185230  1.463346180 -0.271948654  5.103956e-02  0.5640752215
## 339       D -1.926239282  0.487449292  0.702735685  5.841085e-01 -0.5841142822
## 340       D -0.700773250  1.969407386 -0.013225332 -6.637905e-01  1.6391431454
## 341      ND  0.630943021 -0.856509058  0.513348694 -3.843561e-01  0.6129950986
## 342      ND  0.487164176 -0.441130609  0.030141235  7.765533e-01 -0.0354638107
## 343      ND  1.774315459 -1.859973090 -2.356935954  1.457726e+00 -1.5078043152
## 344      ND  0.493016612  0.990690267 -0.746480045 -1.846983e-01  1.0310698849
## 345      ND  0.287235221  2.407126290 -0.453830806  8.383394e-01 -0.1084603435
## 346      ND -1.643388485  1.349869954 -0.970643729 -1.287216e-01 -0.7315653233
## 347      ND  0.575141426 -1.215430227  1.264811240 -9.507524e-03  0.3760898261
## 348      ND  3.137070804 -0.557793231  1.868142045 -8.013870e-01 -0.5352866497
## 349      ND  1.361522930 -0.471522816  0.054692013 -3.484581e-01 -0.5857971640
## 350       D  0.748013556 -0.286512182 -3.033085405  1.624940e+00 -1.6432306019
## 351      ND  0.692279683  0.306580511 -1.454774833  4.684001e-02  0.8918733933
## 352      ND  0.666096876  0.777624061 -0.375973792 -5.417142e-01  1.2588427910
## 353      ND  0.458281917  0.392710750 -1.902465560  5.523119e-01 -0.6478662826
## 354      ND  1.336715768 -0.945405690  0.077356742  5.769339e-01  0.1734857585
## 355      ND  0.635237934 -0.446722083 -1.077973630  8.075753e-01  1.1768035166
## 356       D -0.258032259  2.843585544  0.127387453 -5.291021e-01  0.8450854891
## 357       D -0.839492972 -1.729190136  1.111748394  8.166378e-01 -0.4520965422
## 358       D  0.163249487  1.408289571  1.453671298  5.450114e-01 -2.2049586487
## 359      ND -0.798134144  1.726695111 -1.193970659  6.257599e-01 -2.1303565904
## 360       D -2.524435944 -1.147070115  1.476485442 -4.556283e-01  0.9614748170
## 361       D -2.029518330 -0.521805072  1.818729107 -1.314732e+00 -0.3213766534
## 362      ND  0.191517276  2.711059194  0.531373332 -7.467902e-01  0.8188692373
## 363      ND -1.511755321  1.951808647 -2.166639207  4.693961e-01 -0.1522931044
## 364       D -0.593332880  2.529884779  0.173819039  2.751326e-01  1.2759554632
## 365      ND -1.386884055 -0.517174849  0.534684199 -1.167466e+00 -0.2444436666
## 366      ND  0.205594593 -0.428161543 -0.086268747  3.311801e-01 -0.8717868197
## 367       D  1.101341339  0.895888389  0.068487074 -1.028046e-01  0.5192438253
## 368      ND  1.900665135 -1.011302657 -0.176700659 -3.235148e-01  0.1956488844
## 369      ND  0.967916311 -0.555663164 -1.103306193  4.824550e-02 -0.0958638147
## 370       D -1.135235052  0.288566596 -0.929976850 -8.129542e-01  0.5566249367
## 371       D -4.648002656 -2.282932583  2.955591708  2.437275e+00 -0.0173267590
## 372      ND  1.186082167 -1.513286205  3.140273899  2.784063e+00 -0.1474372237
## 373      ND  0.634991105 -1.648974218 -0.603369088  5.409017e-01  0.1773575914
## 374      ND  0.055789479 -1.334243826 -0.675656572 -5.233813e-01 -0.7168785511
## 375      ND -0.973654993 -1.576489543  0.613646815  5.711499e-01 -0.6274261777
## 376       D -3.206383712  1.856086239  0.173911480 -3.599531e-01 -2.0573943794
## 377      ND  1.044838639 -1.016120639 -0.568292026 -3.404504e-01  0.4077504018
## 378      ND  0.119158281 -1.778056584 -0.754801315  4.487188e-01 -0.4509911609
## 379       D -0.402564036  0.687262620 -0.639271550 -7.147871e-01  1.9089978659
## 380      ND -1.696757087 -1.158699627 -1.340284327  1.887639e+00  0.6667159766
## 381      ND -0.104980492 -1.352203815  0.045116982  9.461941e-01  0.1257356922
## 382      ND  1.692786069 -0.984107582 -0.271941796 -3.916348e-01  0.1216554470
## 383      ND  0.579857039 -1.350696666  1.419716187  7.922956e-01  0.2233796040
## 384      ND  0.652507835 -1.278896429  1.037005020  2.265525e+00  0.1138718623
## 385      ND  0.616459264 -0.852241580  0.055358182 -9.344048e-01  0.0185794224
## 386      ND  1.662139216 -0.698699296  0.463266649 -8.087237e-01  0.1162862608
## 387       D -0.207895276  0.240491756 -0.327674297  8.522687e-01 -0.1085301035
## 388       D -1.318668289  1.352570639 -2.315235162  2.311673e-01 -0.3578568289
## 389       D -1.894252503  1.205333207  0.627154039 -7.373947e-01 -0.6294147869
## 390      ND -0.041735798 -0.774344560  0.303165706  1.409144e+00 -0.0745337455
## 391      ND -0.374054276 -0.601182364  0.023833711 -1.626389e-01 -0.6556925994
## 392       D -0.432297524  0.659277966 -0.303770642 -6.057218e-01  1.9304960443
## 393      ND -0.256785233 -1.597485988  1.570867781 -1.583172e+00 -0.5292724525
## 394      ND  0.719634581  0.518455453  0.462403785 -3.509417e-02 -0.1606727510
## 395       D -0.044803814  0.662924729  0.746125034  5.793959e-01  1.7080205042
## 396      ND -1.167091086 -1.689791031  2.541710050  2.021447e+00 -0.1855921969
## 397      ND  0.013387604 -0.542350583  0.892603002  1.355030e+00 -1.1005900474
## 398       D  0.127002231 -1.404549003 -0.812915143 -6.867130e-01  0.3612832915
## 399      ND  2.192048710 -0.015962718 -0.179007371  3.350999e-01  0.1322339148
## 400       D -0.697510988 -0.179079675  0.156730038 -1.273312e+00  1.1928067585
## 401       D  1.566070733  0.435055238 -0.586627727 -2.859021e-01  0.2908882489
## 402      ND  1.080430832  2.357650047  0.601767686 -7.107521e-01  0.0931905557
## 403       D -1.152123507  0.106359287 -0.846212291 -5.330542e-01 -0.3278314116
## 404      ND  0.516457397  1.134392498 -1.483721172  5.637864e-01 -1.3125345106
## 405       D  0.431725895  1.534373794  0.466535186 -1.183873e+00  1.1410335677
## 406      ND -0.697460967 -1.467410642  0.252694741 -2.172595e-01 -0.2642453876
## 407       D  0.920909399  1.371958732  0.004105305  9.501524e-02  0.5569296088
## 408      ND  2.219024655 -0.507926201  0.226025952 -1.280704e-01  0.7037743410
## 409       D -0.652695777  1.910930896  2.291776775  1.147496e+00  1.4856323612
## 410       D -3.864766524 -2.406932115  1.613663321 -1.547581e+00 -0.7789205895
## 411      ND -0.735651076 -0.133668438 -1.310631404  1.139327e+00 -0.3092956765
## 412      ND -0.505179703 -1.414922185 -0.148977468 -1.091607e-01 -0.0839472353
## 413      ND -2.277964828 -1.740754787  0.798618193  5.250927e-01  0.8651598538
## 414      ND  0.490728947 -0.816321099  0.027722138 -9.296582e-01  0.6684123922
## 415       D -0.616420707 -1.863946589  0.439689468 -4.651435e-01  0.1530408692
## 416       D -2.565650274 -1.402835728  0.798108742 -2.384402e+00 -0.2900836789
## 417      ND  0.666288457 -1.239296520  0.414611954  1.941484e+00  0.4362607068
## 418       D -1.048032618  0.295452494 -0.590387532  2.920937e-01  0.6270018444
## 419      ND  2.233806155 -0.325863673  0.351873418  8.524519e-01  0.3684824492
## 420       D  0.276655504 -0.517808273  0.132434334 -9.303102e-01 -0.4361598913
## 421      ND -1.793967819 -1.519735997 -1.191947555 -7.961623e-02  0.3040685268
## 422      ND  0.982652059 -1.023024656 -0.015919407  4.075936e-01 -0.1080301891
## 423      ND -0.528446055 -2.119964808 -0.946828126  2.433362e-01 -0.1937828553
## 424      ND  0.814664490 -0.874466693 -0.282913825  5.115197e-02  0.3404779976
## 425       D -2.209215477  0.448337856 -0.037286462 -4.216159e-01 -0.3985944045
## 426       D -2.280163648 -0.463843351  0.461999516 -1.826002e+00 -0.0026124741
## 427      ND  4.778942564 -0.825153773  2.739426144 -5.691896e-01 -1.1810706402
## 428       D -1.258152630 -0.360522476  0.929322047 -1.443597e+00  0.5720776009
## 429      ND -1.656092441 -1.459166956 -1.343272935 -7.938157e-01  0.4710058832
## 430       D -0.455960443 -0.266239418 -0.886308278 -5.185116e-01 -0.2762722209
## 431      ND  3.523232421 -0.780792580  1.579608987 -8.179736e-01 -0.7124056625
## 432      ND  0.385272268  0.049450609 -0.309130219  5.877369e-01 -0.2066633932
## 433      ND  1.116329535 -1.023881378 -0.547020461  5.576889e-01  0.2997040787
## 434      ND  1.292400648  0.400821446  0.049553500 -8.989657e-01  1.2165264945
## 435      ND  0.994685857 -0.249354512  0.775576441  2.173643e+00  0.5304720199
## 436       D  1.744924956 -0.882408521  1.440129898 -9.791623e-01  0.8105178386
## 437      ND -1.138254166  2.030506576 -1.107117391 -2.179691e-01 -0.7248650657
## 438      ND  0.631980095  0.766822707  0.300308265 -2.332714e-01  1.1537061441
## 439      ND  2.101536761 -0.683692131 -0.384088394 -5.196399e-01  0.0310947151
## 440      ND  0.158499838  0.810832862 -0.563057234  1.136473e+00  0.9490820715
## 441       D -1.394407295  0.498900665 -0.357846681 -6.295829e-01  2.2196698017
## 442      ND  0.795409378 -1.152415541 -0.633876477  5.189747e-01 -0.2103165918
## 443      ND  0.090917364 -0.678375630 -0.325980464 -7.248245e-01 -0.4466806040
## 444       D  0.545998192  1.099917931  0.541841495  1.662585e+00  0.2379244924
## 445       D  0.971750606  0.182079420 -0.002619497 -1.199603e-02  0.2255033179
## 446       D -4.691359988 -2.515403612  1.045328564  4.525500e+00  2.1161636982
## 447      ND  0.903711979 -0.648049595  0.240714646  6.049620e-01  0.3375033224
## 448      ND -0.478839655 -1.638200902 -1.432984764 -8.206402e-02 -0.2745146810
## 449       D  0.120940759 -1.754073669 -0.478383582  2.327810e-01 -0.0762610724
## 450      ND  0.559983193 -0.840740502 -0.367013882 -5.458414e-01  0.6925263371
## 451      ND  1.669547851 -1.019063491  0.095235304  6.631933e-02 -0.3394995973
## 452       D  1.052455850 -0.170933880  0.415140273  7.949517e-02  1.3562259470
## 453      ND -0.513186287 -1.875327147 -0.716857369 -3.100450e-01 -0.3569048474
## 454      ND  2.009963471  1.680359325  3.251749976  1.029786e+00 -0.6977642607
## 455      ND  0.108622342 -1.364163973 -0.209814040  1.669031e-01 -0.3225539177
## 456       D -0.839812786  2.319508726  0.191733130 -8.108944e-01 -0.9003565736
## 457      ND  0.726836154  1.539063981  1.416405272  5.826178e-01  0.8602086134
## 458      ND  0.579449460 -0.558022733 -0.739390008  1.706470e-01 -0.9031587407
## 459       D -3.248112347  1.130472529  0.558884360  9.127709e-01 -1.3278196880
## 460      ND -1.162795283  3.412603769  0.362517065  2.794749e-01 -1.4188876325
## 461      ND -0.010040472  1.778328724  0.745017471  8.891144e-01 -1.0669116814
## 462      ND  2.473293829 -0.470421737 -0.101328558  4.819271e-01  0.1414941949
## 463      ND -0.495809257  0.323086507 -0.917328603  1.478930e+00 -1.6207994821
## 464      ND  0.598449682  0.419109892 -1.160090787  1.889369e-01 -0.7946206497
## 465      ND  0.163966466  1.867796725  0.254207600  1.833356e+00  0.3383258753
## 466      ND  1.271409865 -1.191295213  0.972376847 -4.571967e-01  0.2998106716
## 467      ND  2.092391029 -1.245511899 -0.313863012 -4.766183e-02 -0.0805303112
## 468      ND -0.208777128 -1.765529344 -0.470757294  4.759997e-01 -0.1487160913
## 469       D  2.275406328  1.054867263  1.699675772 -6.072582e-01 -1.1147739415
## 470      ND -2.230577806 -0.458907285 -0.456774887 -1.677904e-01  0.0692379869
## 471      ND -1.206500668 -0.929998639 -0.814734806  3.372177e-01  0.9985082172
## 472      ND  0.118272399 -1.268603257 -0.789475319 -8.286861e-01  0.5330048637
## 473      ND  0.323554905 -1.280170963 -0.919019513 -3.767698e-01  0.7511367056
## 474      ND  0.224499183  2.445366266 -0.435531006 -4.333101e-01  0.6796757913
## 475      ND  1.656635502  0.221674358 -0.256827210 -6.777177e-01  0.5208456414
## 476      ND -0.173481253  1.098886697 -0.425613628 -4.770255e-01  0.5953510400
## 477       D -1.252914348 -1.392967337 -0.359312729  4.965239e-01 -0.6890205303
## 478      ND  0.331936503  0.580635760  0.191027779 -1.538978e-03 -0.6562238982
## 479      ND -0.270188425  0.949594387 -0.439700120 -6.810509e-01 -1.3099377051
## 480      ND -0.672983124  1.845164342 -0.389990226  1.993212e-01 -0.0773169458
## 481       D -1.764686172 -0.580463622  0.788830829 -1.505275e+00 -0.3109340345
## 482      ND -0.271389503 -0.819152682 -1.489158072 -4.780309e-01  0.6733175210
## 483      ND  1.181916318 -0.398775916 -0.388448495  4.489073e-02 -0.8315281435
## 484      ND -0.087078580 -1.603887011 -1.568341104 -3.213712e-01 -0.0248518181
## 485       D  1.211772067 -0.934725464  1.984509359  6.398327e-02  1.0617629586
## 486       D -1.588512172 -2.008583834 -0.242507149 -9.941117e-01 -0.0608145682
## 487      ND -2.402279588 -2.548107762  0.942847015 -1.337675e+00 -0.8687693624
## 488      ND -3.484366324 -0.083409809  1.292663010  7.171747e-01  1.0295610441
## 489      ND  1.208140750  0.053706765 -0.554260795  6.452693e-05 -0.1646958013
## 490      ND -0.687638546  3.662397546  1.415098838 -2.366786e-01  1.0583230759
## 491      ND  0.210582223 -1.302779905 -0.659710465  8.549438e-01 -0.2514635664
## 492      ND  0.027143626  0.185673681 -1.660145346  2.951267e-01  0.0020363715
## 493      ND  0.328317344 -0.194758678 -1.249756733 -2.571598e-01 -0.7438199372
## 494       D -0.732071533  0.431607010  1.291760109  1.561528e+00  0.0381397968
## 495      ND  4.954207224 -0.500797401  2.396478341 -5.447926e-01 -1.8104769565
## 496      ND  0.034342584  3.132376363  0.826795788 -5.719838e-01  0.7666043566
## 497      ND  1.522924586  0.706722226 -0.041387272 -1.573379e-01  0.3002639213
## 498      ND  0.859852433 -0.829615941 -0.453032432  5.933095e-01 -0.0486781482
## 499       D -1.356745573  1.916865034  1.104085723 -1.719667e+00 -0.4620220507
## 500      ND -1.566035788  0.324681924  1.141084691  2.709521e-01 -0.4369924550
## 501      ND  0.530413552 -0.597136985 -0.604992268 -4.315227e-01  0.4692835169
## 502      ND  0.374209706 -0.654903762 -1.561103867  2.125110e-01 -0.3382915334
## 503       D  0.421056806 -0.315267658 -2.223551085  2.604873e+00 -2.2265744371
## 504      ND -0.237644959  0.564584618  0.004127672  1.139434e+00 -0.9920650423
## 505      ND -0.262028308 -0.035608287 -1.621494798  9.514081e-02 -0.3944805703
## 506      ND  0.972782353  1.869687332 -1.282137684  4.706420e-01 -0.5291353849
## 507       D -1.316926456 -0.199966696 -0.151751590 -1.152985e+00  1.6323319979
## 508      ND -0.021759042 -1.469458395  0.988239170 -2.097510e-02  0.1176140534
## 509      ND  0.717888801 -1.558808104  0.591393212  1.547914e+00 -0.4232951975
## 510      ND  0.488890860  3.148701104  0.233069190  3.104030e-01 -0.1136664423
## 511       D  0.161065507  1.986732458 -1.082531358  5.590846e-01 -1.9753268537
## 512      ND  0.651663185 -1.277952704  0.939001372 -1.553269e+00  0.1028638959
## 513      ND  1.310894262  2.842689786 -0.193500245  1.045120e-01 -0.8927280820
## 514      ND  1.852346259 -0.507008918  0.051968609  5.404211e-01  0.5452749155
## 515      ND  1.382963099 -0.681788633 -0.039557814 -7.088107e-01 -0.6620450715
## 516       D -0.250013044 -0.109710443  0.424102450 -1.180069e+00  0.7126318459
## 517       D -2.017094436  1.707701024  0.453565335  5.073527e-01 -0.8539443730
## 518      ND -0.100863787  2.267026881 -0.709969090 -1.080549e-02  0.7234518333
## 519      ND  1.301260114  2.390067864 -0.736878358  2.721206e-01 -1.3846963231
## 520      ND -0.956711194  1.898513952  1.337183887 -4.155082e-01 -0.7659592453
## 521      ND  1.212287069 -1.053446106 -1.107055855 -1.177645e-01 -1.0559419677
## 522      ND -0.552724967 -0.733196253 -0.611627455 -6.062744e-01 -0.1374092504
## 523      ND  4.342247728  0.418479802  2.927625932 -8.409589e-01 -1.7697686161
## 524       D  0.070723009  2.093378302  0.370739008  7.437457e-01  0.3153951134
## 525      ND  1.495918118  0.004539621 -0.017200141 -7.768507e-01  0.8165218044
## 526      ND  1.802592467 -0.698640601 -0.083171070  4.047307e-01 -0.4352207471
## 527      ND  1.669165295 -1.058375201  0.160619327 -3.940109e-01 -0.3847881756
## 528      ND  0.838799964 -0.348997864 -0.322546261 -1.046658e+00 -0.0046103676
## 529      ND -0.204346368 -1.767169275  0.214514392 -3.784755e-01 -0.1386349051
## 530      ND  1.519854189 -0.262316678  0.627454127  6.240838e-01  1.0485700286
## 531      ND  0.311881678 -1.065270717  0.738787899  3.637003e-01  0.2436523338
## 532      ND  0.274496030 -0.823623541 -0.696288429  8.703740e-01  1.9158513238
## 533      ND -1.042091201 -1.850312757 -0.798094619  1.641671e+00 -0.5783956931
## 534      ND  2.577782987  0.060591035  1.663178295  4.679862e-01 -1.0818317716
## 535      ND  0.165075090 -1.801362643  0.420203420  2.457212e+00 -0.2688647506
## 536       D  2.269486814 -0.457223879  1.817336317 -6.264575e-01 -0.0995994868
## 537      ND  0.967599699  0.840644483 -0.890853715 -2.678788e-01  1.2383995800
## 538      ND  1.775531578  1.305482028  0.436992895  1.679448e+00 -0.2243184272
## 539      ND -1.422274737 -1.884702894  0.108998864  3.090458e-01  0.2745006529
## 540       D -2.198867275 -0.947956441 -0.277440343  1.053704e+00 -0.1389912172
## 541       D -1.782921503  0.316166981 -0.382589566  5.990377e-01 -1.5949522741
## 542       D -0.629294171 -0.778395069  0.324864352 -2.666792e-01 -0.0973336601
## 543       D -1.003538410  2.036235245 -0.845867822  1.899762e+00 -1.1508432297
## 544      ND  0.044943260 -0.390217179 -2.031227742 -1.772092e-01 -0.0051057720
## 545      ND  0.286692851 -0.948267088 -1.020849272  1.107254e-01 -0.1738977625
## 546       D -2.461415292  0.852380033  0.412428666 -1.153031e+00 -0.1343880358
## 547       D -3.100545366  0.904491095  1.376185752  4.537701e-01  0.7297817312
## 548      ND -0.168264564 -0.301259880 -0.069295622 -1.196860e+00 -0.1953943328
## 549      ND -1.453969196  0.338423280 -0.187855477 -7.059535e-01  0.4231464452
## 550      ND -1.624167813  0.908850356 -0.067838632  5.062378e-02  1.5127423698
## 551      ND  0.935593106 -0.989613371 -0.647444757 -5.229465e-01  0.2267130328
## 552      ND  0.193318156 -1.091762225 -0.463271983  6.353203e-01 -0.6891781972
## 553      ND  0.391027250  2.987979149 -0.451152311 -9.148844e-03  0.2633068685
## 554      ND  1.017786717 -1.237321546 -0.464677246  2.425188e-01 -0.1868164296
## 555      ND  0.263851366 -1.217624845 -0.581436478  2.821069e-01 -0.1983675761
## 556      ND -0.466283478  0.423834172  0.133365682 -1.145642e+00 -1.5289038440
## 557      ND  0.061993821 -1.009996205 -1.519515975 -9.158210e-02 -0.1523391798
## 558      ND  0.730041831  2.786162254 -0.249732618 -1.897700e-02 -0.2099193329
## 559      ND -0.946963409  1.329269669 -1.830485174 -3.749513e-02 -1.3948346419
## 560      ND  1.164246427  1.893368055 -0.742291742  3.981498e-01 -0.7214878148
## 561       D  0.440018171  2.270193257 -0.475080125 -5.318302e-01  0.4790724797
## 562       D -2.262666499 -1.355386334  1.204558009 -1.531155e+00  1.0379966895
## 563      ND  0.077131183 -1.503766207 -1.072351800  2.017275e-01 -0.2745103890
## 564      ND  0.788443605  0.252653505  0.129270552  3.978824e-01 -0.7960559828
## 565      ND  1.155178949 -0.517894308 -0.540969660  8.007947e-01  1.2773551592
## 566      ND  1.120431518 -1.110868830  0.726992349  7.857508e-01 -0.1829081276
## 567      ND  0.172411588 -1.363986185 -1.170889287  2.474973e-01  0.3322053028
## 568      ND  0.015502356  0.631609197 -0.694993323 -6.126939e-01 -1.5938897726
## 569      ND -0.788757563  0.214898073  0.293512266 -8.455229e-01  0.0065147421
## 570       D -0.288130138 -1.032042246 -0.248658692 -1.000877e+00 -0.0751577603
## 571      ND  1.449198303  0.598907140 -0.826786869  2.485893e-01  0.2668740274
## 572      ND  1.236652862  0.130391487 -0.444589192 -5.391227e-01  1.4555918448
## 573      ND  0.573417417 -0.993959391 -0.107047785  1.600021e-02 -0.4161627617
## 574      ND  0.724680027 -1.077094568 -0.460106733 -6.502386e-01 -0.1482643167
## 575      ND -1.745147456 -1.632878918  1.027799580 -5.380294e-02  0.1539095324
## 576      ND  0.026878093 -1.673426780 -0.230056114 -5.115992e-01 -0.6903436365
## 577      ND  0.518551358  0.042462951  1.476236896  8.029322e-01 -1.2020060384
## 578       D  0.171004348 -0.503464371 -0.553622203  7.738508e-01  1.8151020920
## 579      ND  0.929610735  2.034141983  0.206845000 -4.035930e-01 -0.1106496689
## 580       D -3.467786295  0.083395624 -0.111380116 -1.229096e-01 -0.9168240045
## 581       D -1.303902774 -1.409658986 -1.409187463 -3.685822e-01  1.1992082775
## 582      ND  1.079549763  0.125803866 -0.326592253 -3.209664e-01 -0.8520827242
## 583      ND -0.074371980  3.435768181 -0.298873911  5.468692e-02 -1.1710564975
## 584      ND  0.535974295  1.765147126 -1.060193208 -3.347933e-02  0.1259827063
## 585       D -2.686781892  0.563337321  1.859248006 -8.587398e-01 -2.2985875191
## 586      ND  2.037540613 -0.857000339  0.166333832  1.956066e-01  0.0843142846
## 587       D  0.477795761  1.922557027 -0.065965716 -7.915834e-01  0.4489100257
## 588      ND  1.757475645  0.810680430 -0.076977171 -1.764703e-01 -0.0377186938
## 589       D -2.373300076  0.733079464  1.420541227  9.545744e-01  0.8965006125
## 590      ND  3.757374807 -1.241336384  1.576086877  5.633937e-02 -0.7786252982
## 591       D -2.080395588  1.381081274 -1.119763889  1.940284e+00 -0.7267453474
## 592      ND -1.051886778 -1.506303153 -1.419429534 -7.711730e-01 -0.5844886537
## 593       D  0.298394165  1.178727275 -0.195781556 -3.004010e-02  1.2861960389
## 594      ND  0.030148883 -1.648656873  1.704167959  3.308797e+00 -0.3392612158
## 595      ND -1.721527706 -0.493960219  0.289202593  3.080640e-01 -1.2857505404
## 596       D -1.117947276 -0.953402182  1.247500858 -7.777073e-01  1.8038304130
## 597      ND  0.797657754  0.300859909 -1.784182136  2.714563e-01  0.9500818174
## 598      ND  1.964001442 -1.576629045  0.882948583  4.840674e-01 -0.6052844243
## 599       D  0.202067531  0.760781260  0.018942269 -1.423853e+00  2.0841160335
## 600      ND  1.436056975 -1.140641368  1.129772299 -4.033787e-01 -0.5841539952
## 601      ND  0.753902839 -0.584915970 -0.839197512  1.181532e-01  0.7236172945
## 602      ND  3.170503939  0.122188486  1.590523416 -4.374432e-01 -1.2893901689
## 603      ND  0.452734833 -0.566421565 -0.856965584 -7.979715e-01  0.0581072954
## 604       D -1.764465692  1.495517312  0.449928788  3.144432e-01 -0.2783317338
## 605       D  1.755031093  0.597166064  2.735777962 -1.449776e+00  0.3463716599
## 606      ND  0.178242874 -1.346091304 -0.293539094  1.936518e-01  0.4334982489
## 607       D -3.104311999 -1.985638103  1.536102104  5.656525e-01  0.7765793431
## 608      ND  1.465836303 -1.013220056  0.138777566  2.957393e-01 -0.4809180989
## 609      ND -1.985304161 -1.564932324 -0.340349341 -1.468863e+00  0.3619358603
## 610      ND  1.087535352 -1.003337430  0.338501792 -1.248310e+00 -0.2225642152
## 611      ND  0.553451090 -0.960696393  0.180620185 -6.279089e-01 -0.6177515212
## 612       D -1.082977205 -0.154979484  1.533949555 -7.395795e-01  0.3644156695
## 613       D -3.280092061  0.181434109  0.709680721 -2.707518e-01 -0.5701704695
## 614      ND -0.232763386 -0.123156766 -0.425386225  1.525694e+00 -0.1089796608
## 615       D -1.554205085  1.947468815  0.223318485  1.308376e-01 -1.0308958607
## 616      ND  1.705339648  0.246079875 -0.323970800 -3.764761e-01  0.5827104157
## 617      ND  0.833460707  1.202223044 -1.017895329 -4.622357e-01  0.7735235995
## 618      ND  2.334839033 -0.691664254 -0.448031356  9.941028e-02 -0.5703524710
## 619       D -0.847689262  1.718547440  0.548798031  2.637855e+00 -0.4891503771
## 620       D  2.725092938 -1.114373431  1.461466290 -9.602978e-01  0.1918108389
## 621      ND -1.123627218 -1.109612384 -1.298810081 -6.317475e-01 -0.3081027366
## 622      ND  0.146860525 -0.860599497  1.095589390  3.582586e+00  0.4542604184
## 623      ND -1.951990537  1.698646999  1.248858036  2.151574e+00  2.4229964889
## 624      ND -0.202039914 -1.773871911 -1.166628252 -1.509014e-01  0.3001366187
## 625      ND  1.722099087 -0.357853382 -0.401433420 -5.744524e-01  0.8160985811
## 626      ND -0.775760819 -0.712307112 -1.877889329  3.270899e-01 -0.7010199207
## 627      ND  1.825393322 -0.519329451  0.087200322 -7.464897e-01  1.2355675720
## 628      ND  0.959224477 -0.553718453 -0.195934806 -2.831702e-01  1.8220078512
## 629      ND  0.453758515  1.654656381 -0.602187773 -5.733193e-01  0.8493966854
## 630      ND  1.550656489 -0.448138854 -0.702637334 -3.609150e-01 -0.5257854675
## 631       D  0.964938610  1.073978107  0.656655281  9.692613e-01  0.1754330638
## 632      ND -0.158831788 -1.556733089 -1.247840394 -4.394068e-01 -0.1262828318
## 633      ND  1.838521768 -0.283239845  0.218936085 -1.776596e-01  0.6926601921
## 634      ND  0.227481489 -0.895324280 -0.219803830 -1.439069e+00  0.3522917979
## 635      ND  1.756229038  1.532945020 -0.310684083 -1.364761e-01 -0.8273709586
## 636       D  0.643287562  2.413658949 -0.232226686  6.407993e-01 -0.6934365986
## 637      ND  1.135022962  1.696284882 -0.490266660 -2.858241e-01  0.1867957770
## 638      ND  0.445048493 -0.923850096 -0.395639237  7.327349e-01  0.2507031214
## 639       D -1.128747306 -0.098113823 -0.585710592  1.448306e+00 -0.6193827872
## 640      ND  1.705304983 -0.315023763 -0.284013433 -6.365728e-01  0.0733131146
## 641      ND  0.144202179 -0.978210793 -0.227303000  6.161028e-01  0.6378840252
## 642      ND  0.918812691  0.220521000 -0.234362901 -3.553023e-01  1.0641272534
## 643       D  0.362433524  2.250925898 -0.017481362 -7.085282e-01  0.7874087722
## 644      ND  2.680463213 -0.314399677  1.881436595  6.947536e-01 -0.8325158881
## 645      ND -0.189030918 -0.941048918  0.230419993  5.995318e-01 -0.5891850730
## 646      ND -2.317159104 -1.308318333  0.434597961 -2.365327e+00 -0.5109021798
## 647       D -0.177348791 -0.163525391  1.150976197 -9.629115e-01  0.7891304577
## 648       D -1.067618142 -1.698290073  1.034353474 -1.156835e+00  0.6400117428
## 649       D -1.086502690  1.661907128 -0.339098576 -5.998197e-01 -1.4072831888
## 650      ND  1.434697841 -1.102893204 -0.488054241 -6.424893e-01  0.0825312110
## 651      ND  1.313700636 -1.310219312 -0.080806768 -4.912460e-01 -0.6966998935
## 652      ND  0.165130865 -1.067652582  0.115237322 -1.591837e-01  0.1501925215
## 653      ND -0.553864402 -0.366262395 -0.802757834 -4.578377e-01 -0.5931748309
## 654      ND  1.646243803 -0.129122148  0.661134540  1.282011e-03  0.7448633932
## 655      ND  0.192940193 -1.349280263 -0.786132143 -9.100987e-01 -0.1388756403
## 656       D -2.002555461 -1.873286425  1.564062872 -2.494690e+00 -0.9068939951
## 657      ND  1.116538676 -1.208031833 -0.180844304 -7.559850e-01 -1.0284101298
## 658      ND -2.384397046 -1.169061313  0.273460662  1.505527e+00 -0.2293703020
## 659      ND -0.637040015  3.196876503 -1.462854606 -1.597778e-01  0.5306408822
## 660       D -0.647629729 -1.105173302 -0.205473541  2.629692e+00 -0.1237533272
## 661      ND -0.016280254  3.308109303  0.189286044 -7.688274e-01  0.4158387484
## 662       D -2.487272281 -1.377121565  1.028614472  1.586258e+00  1.9990154571
## 663       D -2.919355810  1.030982212 -0.895860598 -1.450261e+00 -0.5443810274
## 664       D -2.174343450  0.724175814 -0.213355153  2.548979e-01 -0.9346848426
## 665       D -0.074536367  0.468978288 -0.682710687 -1.322411e-01 -0.9588677157
## 666      ND -0.653533539 -1.498631889 -1.153714067 -7.025660e-01 -0.3650016885
## 667       D -0.625526968  2.528007670 -0.297699472 -3.975721e-01  0.4550246776
## 668       D  0.407386866  1.614519921 -0.706062677 -2.893798e-01 -1.2820932000
## 669      ND -0.598934000  0.155158601  0.015643323 -2.857359e-02 -1.5805379391
## 670      ND -0.990021278  1.680156734 -0.140711362 -1.019203e+00 -0.6999822178
## 671      ND -1.574871006  1.056083728  1.079097146 -2.574420e-01 -0.1495073265
## 672      ND  1.695306323 -0.923805129  0.249405880  4.739796e-01  0.3871785416
## 673      ND -0.502272520  1.912996440 -2.262704404  6.593622e-01 -1.0805335204
## 674      ND -3.166539758 -1.561150169 -1.267945266  7.215277e-01  0.8136397761
## 675      ND -0.049326075  3.038618566 -0.530211201  1.232931e+00 -0.1012470858
## 676       D  0.075468416  1.341364154  0.971949023 -1.072546e+00  1.5938390212
## 677       D  0.202273330  3.084913758  0.239489006 -6.161232e-01  0.4368764417
## 678      ND  1.646076203 -0.715169406 -0.546194538 -1.251901e-01  0.9571561572
## 679       D  1.407234083 -0.068967834 -0.136675242 -7.680163e-01  0.7798569910
## 680      ND  0.422928592 -1.361336443  1.094992492 -1.529236e-01 -0.7709865168
## 681      ND  1.787710971 -1.324321012 -0.690014858  3.889774e-01 -1.2280021862
## 682       D -1.411434740 -1.104305091 -1.033280785 -5.082997e-01  1.6201345386
## 683      ND -0.491258901 -2.021707301 -1.213252296 -6.062326e-02 -0.0909222857
## 684       D  0.643531068  0.397276516 -0.139304473  3.023837e-01  1.1819492043
## 685      ND  1.492335504  3.244013425  1.849669846  4.891956e-01 -0.1549106414
## 686      ND -0.771349598 -1.114879973  0.322375099 -2.416409e-01  0.0760122841
## 687      ND  1.710641820  0.032011404  0.480424877 -4.825350e-01  0.7956547443
## 688      ND  1.498853648 -0.622213805 -0.111943247 -4.917203e-01 -0.0219359561
## 689      ND -0.412356524 -1.253150973  1.128935428  1.935243e-01  0.2648937075
## 690       D -2.407488289 -0.457947513 -0.838979959 -7.378372e-01  0.1616535449
## 691      ND  0.774523606  1.354276800  0.398307264  1.420964e+00  0.1581995414
## 692       D -1.369204861  3.357722950 -1.346914298 -3.321156e-01  1.0312973069
## 693      ND -0.894261844 -1.371693946  0.007274084  9.665692e-01  0.3539503191
## 694       D -1.665246899  0.342665357 -0.434279531 -7.900050e-02 -1.2459795585
## 695      ND  2.341942451 -0.201429212 -0.150409982 -3.008128e-01  0.2261079669
## 696       D -2.166713631  0.588480317  0.522171848 -2.154899e+00 -1.3603493480
## 697       D -0.454311389  0.076698136  0.542006262 -1.296130e+00  0.6946494646
## 698      ND  3.337369722 -1.275278364  1.642042110 -4.880249e-01 -0.2784622382
## 699      ND -0.611821287 -0.080279812 -0.055902568  3.278001e-02  0.6274197642
## 700      ND -0.067477321 -0.080406609 -0.050307729  1.364891e+00  1.4445920376
## 701      ND -0.814586154 -1.085924563 -0.123637685 -3.770907e-01  0.0306371213
## 702       D -0.374933435  1.296048341 -0.159211828  5.924765e-01 -0.4272018112
## 703       D -1.596261741  0.723914711  0.366736052  8.771368e-01  1.4690186301
## 704      ND  1.756862945  0.051422289  1.641959104 -4.842986e-01  0.1522315218
## 705      ND  0.538391830 -0.152238558 -0.621484446 -8.538342e-01 -0.2937026304
## 706      ND -0.025569357 -0.155388098 -2.149221582  1.588342e-01 -0.7559013209
## 707       D  4.051332060  1.313355359  3.046454539 -5.524353e-01 -2.3309083294
## 708      ND -0.258175270 -1.591406119  0.905208968 -1.758202e+00 -0.7496648977
## 709       D -0.004186573  2.558060110  0.052318031 -9.407587e-01  0.7196288861
## 710       D -0.447583358 -1.630357624 -0.273291045  5.650160e-01 -0.4637625050
## 711      ND -0.935358746 -0.919441933  1.443403878 -1.961405e+00 -0.1238944613
## 712      ND -0.182060365  0.706517388 -0.330936784  1.216385e-01 -0.1130611408
## 713       D -0.909927483  1.057699412 -0.604762023  3.172379e-01 -0.8632999843
## 714      ND  0.034140870 -1.690348050  1.160667271 -1.346324e+00 -0.1828998077
## 715      ND  1.491271323  0.491463707 -0.688110930 -4.810501e-01  0.5995195897
## 716       D -2.511118742 -0.319309244  2.590541204 -8.254163e-01 -0.9436315732
## 717       D -2.152716849 -0.718865865  1.106018678  3.231652e-01  0.4075815563
## 718      ND  0.439332340  2.461680170  0.021799472  1.119237e+00 -1.3467408071
## 719      ND -0.635427126 -1.913237953 -0.312695825 -3.441667e-01 -0.8371944098
## 720       D -0.201458724  1.156423720 -1.042658451  5.093855e-01 -0.4445731713
## 721      ND  0.757407402  0.318773228 -1.306902024  3.670320e-01 -0.1506322074
## 722      ND -0.623733935 -1.808533032 -0.480877153 -8.108083e-01 -0.3426077048
## 723       D -0.520850597 -0.095746102  0.483742723 -8.243987e-01  0.1795262419
## 724      ND -1.040924271  0.543641895 -1.155203106 -3.825896e-01 -0.2318665593
## 725      ND  0.559188908  0.968724865 -0.981955979 -1.214194e-01  1.3891895829
## 726      ND -0.609491220  0.075195753 -1.517912902 -8.372119e-02 -0.2475408441
## 727      ND -0.724792982 -1.334020247 -0.349709881 -2.258672e-01  0.1376199664
## 728      ND -0.029383730 -0.950753491 -0.558894866 -2.110328e-01  1.2649558736
## 729      ND  0.750793925  0.326884503  0.503777556 -9.773032e-01  1.9976947495
## 730      ND  2.179171015 -0.490952758 -0.287304734 -4.483084e-01  0.3414928178
## 731       D  0.004674951  0.076536250 -0.173470614 -4.958128e-01  0.1535838152
## 732       D  0.974937640  1.020087108 -0.609160017 -2.750314e-01  0.4671460549
## 733       D -2.243237682 -0.998610048 -0.271735092 -2.767036e-01  1.2811192180
## 734      ND  0.395662462 -1.388585892  0.309833961 -3.409127e-01 -0.6412649465
## 735      ND  1.117140500  1.366901728  0.324907886  6.495121e-01  0.5658378897
## 736      ND  0.513343281 -0.516031246 -0.967169431  9.316834e-02 -0.5739822708
## 737      ND -0.126238488 -1.314292545 -0.167748558 -2.113109e-01  0.5665964236
## 738      ND  0.455728228  0.992750600 -0.960877394  1.438360e+00 -1.2225916257
## 739      ND  0.261047845 -1.329743170 -0.088812767 -1.358487e-01 -0.0915743411
## 740       D  0.685407287  0.475302698 -0.850457225  3.242402e-02  1.1722330025
## 741       D -2.278377382  1.395596953 -0.351736852  9.875549e-01 -1.2460934237
## 742      ND  0.941627064 -0.850364140  0.385237221 -1.311161e-01 -0.6050201391
## 743      ND  0.990532775 -1.152890760  0.045530686 -7.938976e-01 -0.0906299257
## 744       D -0.479590554  2.364821142  0.029166054  8.828244e-01  0.8493673319
## 745      ND -2.940084100  1.428945064  0.401940618  1.584368e+00 -0.7117160986
## 746      ND -0.883529466  1.843509349 -0.667428858  5.600112e-01 -1.8372022928
## 747       D -1.732518549 -0.883948037 -1.816848533 -2.417774e-01  1.3911791545
## 748      ND -1.279256758 -1.526869053 -0.928343179  2.228727e+00  0.0421440959
## 749       D -1.538174530  0.040070555  1.007229825 -1.329165e+00  0.7847888768
## 750       D  0.810881974  2.228148887  0.938698111 -9.856666e-01  0.5342055596
## 751       D  0.313915576 -0.125621561  1.161435074  1.722043e+00  1.4176893023
## 752      ND -0.686663174 -1.076485436 -1.156380038 -4.968229e-01  0.2041032783
## 753      ND  1.214175365 -0.451475716 -0.376678469 -3.440475e-01 -0.2607429631
## 754       D -3.536839474 -2.030174014  0.387173126 -2.643623e+00  0.0669143554
## 755       D -0.943422396  1.557927855 -0.162869644 -2.251575e-02 -0.1698955785
## 756       D -1.752981178 -0.808037178 -0.012366183  1.374616e+00  0.4911692938
## 757      ND -1.001203786  0.923553213 -0.961882735  5.476746e-02 -0.3245118684
## 758       D  0.546171231  0.975959235 -0.318807144 -3.121721e-01  1.3774254197
## 759      ND  1.061503814 -0.267265946 -0.983341993 -3.644062e-01  1.3142064035
## 760       D -1.084444104  3.329631982  0.237571060 -8.282877e-01  1.6980571909
## 761      ND  0.926482778 -1.240093311  0.042700341  1.193983e+00 -0.2870976806
## 762       D -1.674875045  1.564698200 -0.404536488 -2.486830e-01  0.2617922172
## 763      ND  2.012865700  1.498685290 -0.214542283 -1.964149e-01 -0.8667989053
## 764      ND -1.561067382  1.921897914 -0.866842787 -3.906710e-01 -2.5398720121
## 765      ND  0.100340070 -0.613781009 -0.763855604 -1.347709e-01  0.4989652391
## 766      ND  0.283290637  0.097001817 -0.077141667 -6.871133e-01 -0.5226686533
## 767       D  1.059633773  0.836517204  0.424753643 -2.043597e-01  0.9569693910
## 768      ND  0.839344740 -1.151004764 -1.008520943  8.687219e-02 -0.0825969923
##               PC6          PC7          PC8
## 1    0.3569498928 -0.858262022  0.973669027
## 2   -0.4060647160 -0.756541009  0.353983856
## 3   -0.0399914575  1.152239401  1.067832066
## 4   -0.4122511681  0.029228254 -0.130562776
## 5    1.0776386251 -0.549000452 -0.319143547
## 6   -0.4097269708  0.610266380 -0.038551139
## 7    0.4308838429 -0.235591486 -0.075800545
## 8    3.1623236733  0.834229106 -0.235098279
## 9   -1.0888274066 -1.357207514 -0.612851240
## 10  -3.2331150716 -0.190214370  0.856483255
## 11  -0.0287980922  0.654132499 -0.688095344
## 12   1.0102865580  1.482510794  0.251265467
## 13  -0.5185188180  0.280844378 -0.125055201
## 14  -1.6809822220 -1.212701456 -3.074727031
## 15  -0.7386354093 -0.621549506  0.112038761
## 16   2.3859253546  0.167314408 -0.384437923
## 17   0.1319143424 -0.607416985 -0.519278300
## 18   0.0098392375  0.913971973 -0.287964896
## 19   2.1263872496 -1.233983381 -0.202301521
## 20  -0.0270916097 -0.546535255 -0.016262388
## 21  -0.4118684056  0.336220298 -0.191067558
## 22   0.1317325821  0.083293771 -0.968056294
## 23   0.5550938734  0.731664599  0.329596904
## 24  -0.0642522544  0.847134851  1.251723911
## 25  -0.0807999965  0.282990032  0.160577385
## 26   0.2265283363  0.492600840  0.204599840
## 27   0.8792228560  0.327215170 -0.366263930
## 28  -1.0131764429  0.239117447 -0.334572968
## 29  -0.7572224122  0.293322793  0.456091320
## 30  -0.3154760671  0.379872819 -0.550538587
## 31   0.2821839133 -1.533160139 -0.213805766
## 32  -0.6612436989  0.320333224  0.353455443
## 33  -0.2670695422  0.414520551 -0.183144841
## 34  -1.4991161600  1.010664702 -0.068912366
## 35  -0.1663986471  0.168043768  0.954592341
## 36  -0.8235515453 -0.081814924  0.005216571
## 37   0.5240576698  1.508174625  0.055340226
## 38   0.2046548252 -0.167339781  0.600675325
## 39   0.5887907527 -0.448799348  0.485428048
## 40  -0.2561638845 -1.401872835 -0.455503444
## 41   0.5655282277  0.217921112  1.059440201
## 42   0.5488053024  0.861238814 -0.505739109
## 43  -1.2151027100 -0.292932289  0.319815144
## 44  -0.2280264935  0.391066927 -0.738106996
## 45   0.2634623748  0.368120375  0.382642066
## 46   0.7787805128 -0.096407885  1.414608398
## 47   0.3037710987 -0.037638446  0.085985222
## 48  -0.4357007637  0.079235295  0.213906605
## 49   1.0819190956  0.326925883  0.382566901
## 50  -0.1382210601  0.480040290  1.133944989
## 51  -1.6517223740  0.377684100  0.040390725
## 52  -0.1674887853 -0.258878454  0.109919408
## 53  -0.4123151714  0.164269346  0.256166668
## 54  -0.7131011340 -0.441640169 -0.180476090
## 55  -0.0873643588  0.041582915 -0.245224779
## 56  -0.1865678559 -0.039204952 -0.141693614
## 57   0.4272822081  0.094034205  0.248793831
## 58   0.2180122670 -0.857743599  0.204030228
## 59  -0.0242624258 -0.497897789 -0.732289353
## 60   0.7015054567 -0.397596812 -0.127119188
## 61  -0.4785730147 -0.251762938  0.717305361
## 62   0.4694237698  0.652331964 -0.172928299
## 63  -0.3977560008  0.090002741 -1.137335383
## 64  -0.3937618051  0.011207112  0.919861150
## 65   0.5384832884  0.197077513 -0.521389858
## 66  -0.1541903765 -0.004706674  0.497135361
## 67  -0.7504356573 -0.951881450  0.285608221
## 68   0.0592904995 -0.957619803 -1.441297800
## 69  -1.0625669470 -0.083656745  0.157591573
## 70  -0.6593339092  0.431376474  0.736389011
## 71  -0.0986363809  0.052716730 -0.379459058
## 72  -0.1043648635  0.405684743  0.804045308
## 73   0.9696034449  1.638286319 -0.623796054
## 74  -0.6061750193  1.008814166 -0.759049774
## 75  -0.2346826936 -0.115321778  0.226666429
## 76  -0.1571177092 -0.454295433 -0.902736621
## 77  -0.0567773576  0.312563788 -1.237500452
## 78   0.6303958288  0.246940025  0.363922994
## 79   3.2949444252 -0.630612845 -0.651047474
## 80  -0.3811422674 -0.001926663  0.717167936
## 81   0.2174816959  0.181593676  0.612358389
## 82  -0.4585605033 -0.383613968  0.563485774
## 83  -0.5160824462  0.359079903 -0.133166875
## 84  -0.5030552810 -0.387050507  0.760925582
## 85   0.5284406165  0.674219107 -0.894181588
## 86  -0.4049340672  0.046202348 -0.046531452
## 87   1.0380846794  0.149290001  1.272583600
## 88   0.5165389640 -0.032521897 -0.305726288
## 89   1.0909191072  1.167409614  0.476595633
## 90  -0.3534872603 -0.143314151  0.442668342
## 91  -0.6773859032  0.185607808 -0.232312635
## 92  -0.5650994434  0.293878726 -0.639048223
## 93   1.1670350215 -0.335431099 -0.403954399
## 94  -0.6098930575 -1.355292344 -0.282681542
## 95  -1.1047894777  0.655670483  0.739405079
## 96  -0.0443398658  0.047100877 -0.275803601
## 97   0.3141738469 -0.201788466  0.369301813
## 98  -0.5488862835 -0.170016787 -0.153750838
## 99   0.4831933543  0.524126970  0.434586605
## 100  0.4280143922 -0.489048578 -0.405167625
## 101  0.4564044932  0.123643130 -0.175137124
## 102 -0.0059613708  0.319137343  0.445603498
## 103 -1.6509866030  0.518773632  0.195266002
## 104 -0.6775027113 -0.057908257 -0.159085498
## 105  0.6582488128  0.372273781 -1.145484196
## 106 -0.2202698651  0.127302350  0.291531215
## 107 -2.5421970924  0.518974607 -0.295704915
## 108  0.1244051240 -0.389596754  0.360638088
## 109  0.6142373016 -0.111053540  0.160555531
## 110 -0.1578499881 -0.166600733 -0.203837009
## 111  0.0925541370  0.312573146  0.970669685
## 112 -0.2799667521  0.353528601 -1.471138294
## 113 -0.3420460775 -0.232109354  0.354535522
## 114  0.5033511617  0.630967307 -0.908554092
## 115  0.3984672299  0.055937334  0.581819832
## 116 -0.6571591735 -1.093482425 -0.470399208
## 117  0.3164371062  0.183532426 -0.434186633
## 118  0.9311779941  0.737499878 -0.830801208
## 119  0.1353963374  0.412874548  0.508819462
## 120 -0.8823272096  0.756352963  0.240943581
## 121  1.4407505227 -0.461631140  0.825774206
## 122  0.7334000881  0.403596557  1.050272065
## 123 -0.1626742022  0.165422323  0.093063745
## 124 -0.5615929896 -1.660053725 -0.570214950
## 125 -0.1020757145  0.229188030 -0.466308291
## 126  3.0029402319 -0.756976922 -0.736382839
## 127  0.7580818185 -0.004655474 -0.383165336
## 128  0.3650859239 -0.298950816  0.480486232
## 129 -0.7283450240 -0.719426652 -0.581365914
## 130 -1.0876440326 -1.971838634 -1.063217886
## 131 -0.2479212843  0.326145942  0.193326650
## 132  0.8519301151  1.231961731 -0.213937018
## 133  0.1893855889 -0.053508687  0.510918425
## 134  0.6992356521  0.104382952 -0.002403856
## 135 -1.0470023650  0.152920150  0.062341008
## 136  0.3255499045 -0.282553913 -0.335404396
## 137 -0.3398360094 -0.064744666  0.175358294
## 138 -0.3006404337 -0.198228707 -0.078258504
## 139 -0.4956072666  0.036701072 -0.270888828
## 140 -0.1235714287  0.589835715 -1.162469632
## 141 -1.0997836715 -1.193462742 -0.198498323
## 142  0.4804001485 -0.259840425  0.132677275
## 143  0.5749825422  0.010592291  0.221922639
## 144  0.6547801626  0.711843644 -0.484009889
## 145  0.0259566237  0.630310812  0.030415724
## 146 -3.0531088693 -0.160211901  1.666926142
## 147  0.0938910049 -0.057843646  0.072991787
## 148 -0.4381833773 -0.423568896  0.083334545
## 149  0.1509846748 -1.370216456 -0.585454997
## 150 -0.3168932701  0.158575001  0.169356363
## 151 -0.0381499791 -0.234250218  0.498978811
## 152 -0.5795278388 -0.037991012 -0.067914390
## 153 -0.3359694874  0.754916132  0.296383045
## 154 -0.7084621859  0.490284957 -1.015724571
## 155  1.7618800351  0.605888939 -0.120149999
## 156  1.4478691608  0.169508109  0.923939727
## 157 -0.2974439245  0.331772468 -0.090660185
## 158 -0.5534346290  0.088888499 -0.036170680
## 159 -0.4665972390  0.264885081 -0.119687443
## 160  1.3629131838  1.380270000  0.972984170
## 161 -0.5501202801 -0.332820287  1.471183873
## 162  0.4064720852 -0.509408075 -0.018233697
## 163  0.0858743461 -0.226411967 -1.145727820
## 164  0.0509281059  0.156538289  0.433690245
## 165 -0.7358988223 -0.049594508 -0.319704264
## 166 -0.5354512711  0.111291934 -0.673499125
## 167  0.4549928315  0.328959123  1.078110251
## 168 -0.0539859512  0.291239862 -0.271601750
## 169  0.2578275777  0.503802523 -0.414997114
## 170 -1.0693856300  0.436751311 -0.244213770
## 171 -0.2151355530  0.492636387 -0.538160140
## 172  0.3067691606  0.714297762  0.034893015
## 173  1.9235988374 -0.643714133  0.240491466
## 174  1.0750673359 -0.357206319 -0.090271910
## 175 -0.1858202426 -0.571269827 -0.360808181
## 176  0.1997127525  0.442181665  1.398557655
## 177 -0.1687039858  0.111929827 -0.905632499
## 178  1.4726366003 -0.087497129 -0.765832991
## 179  1.1798217685 -0.244423150 -0.806614978
## 180  0.3276429260  0.548892422 -0.575605146
## 181 -0.8182586374  0.627729515 -0.344683770
## 182  0.1268412243  0.031637330 -0.254230865
## 183 -0.8404589702 -0.054562371 -1.143317428
## 184  0.0177677298  0.594851116 -0.635720284
## 185 -0.2591917663 -0.102794359  0.010931378
## 186  0.8716304299  0.073084772  1.469837001
## 187 -0.7913292066 -0.561403194 -0.838257436
## 188 -1.2441699388 -0.348714302  0.796781519
## 189 -0.4843432082  0.645625268  0.679780609
## 190 -0.3989384048  0.648419688  0.588791352
## 191 -0.3662168129  0.648443248  0.121483867
## 192  0.3562636981  0.085039917  0.807556677
## 193  0.4470339681  0.666755395  0.321298153
## 194  4.6103378763  0.572165754 -0.863847438
## 195  0.1842973923 -0.215129952  0.188395731
## 196  0.0700631657  0.476618032  0.418338990
## 197 -0.2316221085  0.267296897 -0.105400284
## 198 -0.6012796193  0.485433529  0.235768353
## 199  0.2625933340  0.124491919  0.580295246
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## 527 -1.1921767776  0.071336186  0.323968226
## 528 -0.6600046483  0.457718391  0.004141345
## 529 -0.4557229427 -0.090415749 -0.077715091
## 530 -0.6254829347 -0.307927388 -0.264709660
## 531 -0.0896857158  0.398684134  0.032771047
## 532  0.8149455935  0.317191564 -1.098793367
## 533  0.5950590411 -0.752990602  0.260236132
## 534  2.2830138838  0.039715240 -0.519943088
## 535  0.1363393505 -0.136633273 -0.170626160
## 536  2.6325508247  0.213978934  0.002287403
## 537 -0.9501989419 -1.077205389 -0.838828500
## 538 -0.9943396652 -2.632481747 -1.546599572
## 539 -0.5382273914  0.031340744 -0.100760768
## 540 -0.6760201665 -0.098764088  0.542734767
## 541  0.2782994628  0.037283442 -0.605782433
## 542 -0.3454255459  0.341458401 -0.204565308
## 543  0.0329844861 -0.392351101  0.013270410
## 544  0.0300968673  0.545576170 -0.494787035
## 545 -0.4973761222 -0.395771689 -0.170825757
## 546 -0.3664102731  0.737283349  0.697321789
## 547  0.5477775789 -0.572318895 -0.281023004
## 548  0.0645984422  0.366923665 -0.191368255
## 549 -0.3588492533 -1.745272267  1.025161195
## 550 -1.3047274748  0.095385675  1.770636749
## 551 -0.3104443104 -0.069928854  0.901797827
## 552 -0.1923515082  0.164069676 -0.188014583
## 553 -0.7395916295 -1.237790309 -0.784296377
## 554 -0.0813463052 -0.134088783  0.010887755
## 555  0.2556498196 -0.281361991 -0.814548152
## 556 -0.6434947577  0.162866901  0.173701372
## 557  0.5418140928 -0.811285907  0.434332244
## 558 -0.2180497036 -0.533145024 -0.619457886
## 559  1.8934713706  0.213347704  0.305182308
## 560  0.1950760226  1.343523687 -0.552758699
## 561  0.2741778370 -0.615423504 -0.663134837
## 562  0.4748772229 -0.171065713  0.126276160
## 563  0.3196170915 -0.246993354 -0.159824034
## 564 -0.0283824834  0.301428618  0.082856615
## 565 -0.4711221555  0.065188537 -0.819585332
## 566 -0.2624363641  0.329936467 -0.240845890
## 567  0.4526625050  0.007461542  0.156148425
## 568  0.2345075856 -0.771278795 -0.360804178
## 569 -0.1280480924 -0.244226389  0.516228927
## 570 -0.0423894160 -0.817250607 -0.289739201
## 571  0.0509209667 -0.346474996 -1.104005530
## 572 -1.5142122158  0.879662206  0.331157084
## 573  0.2025449225  0.155951670  0.690752898
## 574  0.3664846404  0.274384044 -0.606747014
## 575 -1.4779972783  0.552083056 -0.397301884
## 576  1.0867556556 -0.772435014  0.909037225
## 577  0.0019920595  0.116365670 -0.043587973
## 578  0.6292711011  0.899767162 -0.718460907
## 579  0.2174707342  1.110792617  0.209537446
## 580  0.4504836840 -3.352285270  3.534735366
## 581  0.3254158046 -0.189412196  1.346208194
## 582  0.0570536942  0.335473803  0.944317483
## 583 -0.1411888388 -0.336715694  0.261455236
## 584  0.7575912350  0.453528188 -0.943327652
## 585 -1.5927451329  0.240161863 -2.368814020
## 586 -0.4136885757  0.021404381  0.171464629
## 587  0.9001344986  0.462826343 -0.147685821
## 588 -0.2510706642  0.748331510 -0.108910359
## 589 -0.7309787730 -0.856124531  0.192212902
## 590  1.1871660903 -0.759610148 -0.494507809
## 591  1.2296359611  0.415857845  0.308629911
## 592  0.1997391651 -0.187506707  0.417183700
## 593 -0.0008458607 -0.405554223 -0.524798900
## 594 -0.3399002509  0.251245230 -0.448995987
## 595 -0.2328821534  0.177600181  0.166923211
## 596 -0.7185902166  0.553776786  0.267140650
## 597  0.7621243809 -1.218009602 -2.045914399
## 598  0.9957819112 -0.295410622  0.083652239
## 599  0.5085076882 -0.444965846 -0.001874840
## 600 -0.0110797250 -0.355642178 -0.013165070
## 601 -1.0144480394  0.120832060  0.413234731
## 602  1.8564947540  0.122600952 -0.123535172
## 603 -0.3769479499 -0.726885520  1.119421300
## 604  0.0351243520 -0.587865840  0.077573155
## 605  2.3779915837 -0.520795159  0.683849858
## 606  0.6930833304 -0.106668668  0.790724483
## 607 -0.2412029015  0.489554068  0.324783364
## 608 -0.9872016092 -0.299853096  0.530014985
## 609 -0.0955780491 -0.223763306 -0.257871250
## 610 -0.7836734703  0.161602550 -0.449931301
## 611  0.1968821871  0.263660562 -0.368228002
## 612  0.2440498848 -0.184577747  0.141268266
## 613 -0.4137127644  0.424485313 -0.021883631
## 614 -0.1285194362  0.777572275  0.588172925
## 615  0.4411057462  0.333655706 -0.105045663
## 616 -0.4642232194  0.406234296 -0.203003200
## 617 -0.7891936637  1.007720976 -0.135517814
## 618 -0.8304956390  0.077570411 -0.059665746
## 619 -0.5499403920  0.038046732  0.392764389
## 620  2.3598288071 -0.614053949 -0.313040770
## 621 -0.2307866398 -0.171901936  0.002869429
## 622 -1.2098891332  0.210725774  0.286610488
## 623  0.1423951393  0.596890802 -0.031307679
## 624  0.6591839064 -0.027257642 -0.726984195
## 625  0.2106568681  0.528853846 -0.312509933
## 626 -0.0879652544 -0.087393259  0.453303129
## 627 -0.5279326551  0.236174792  0.117704674
## 628 -0.2139802684  0.431730128 -0.127733038
## 629  0.1836315225 -0.190296541 -0.531428024
## 630 -0.2628863303  0.442748018  0.605106455
## 631  0.0345503150  0.760567767 -0.154141345
## 632 -0.2754769586 -0.441768121  0.300104209
## 633 -0.1029141998  0.401130207 -0.109268344
## 634 -1.0757241664  0.392753313 -0.217950009
## 635  0.2320425822  1.251652024 -0.224889524
## 636  0.4758578495  1.575049310 -0.319775827
## 637 -0.2055192447 -0.500333180 -0.668962762
## 638 -0.4311401492  0.388850755 -0.274817274
## 639  0.5401177305  0.603589977 -0.250094732
## 640 -1.2986229374 -0.198159151  0.104717029
## 641 -1.1654870082 -0.024517253 -0.432580974
## 642  0.4461064815  0.847234728 -0.173572111
## 643 -0.1692868167 -0.296607530 -0.098750258
## 644  1.9804637575 -0.291392438 -0.528719269
## 645 -0.7909316144  0.187938465  0.005096491
## 646 -0.2566589533  0.092509686 -1.014231529
## 647 -1.0807594431 -0.256130364  0.493064099
## 648  0.9405105830 -0.232727222  0.818210175
## 649 -0.4325738352  0.626134233  0.736343359
## 650 -0.1428185360 -0.451815672  0.648484848
## 651 -0.3012351548 -0.231325733  0.034998625
## 652  0.2396650095 -0.223942637 -0.152137343
## 653  0.1810737372  0.180891943  0.779545769
## 654  0.1319721225  0.148101048 -0.079770346
## 655 -0.0526008656  0.019740358 -0.192736755
## 656  0.1444206989  0.453614929 -1.671935978
## 657 -0.5881500234 -0.161666746  0.778330461
## 658 -0.3890174555 -0.998370014 -0.171810466
## 659  0.0271930983  0.782697751 -0.650584196
## 660 -0.5648676122  0.307935656 -0.198748129
## 661 -0.1951917451  0.221027587  0.255966705
## 662  0.7829283922  0.198596936  1.880814359
## 663 -0.6347576287  0.256183576  0.546440081
## 664  0.3592735619  0.321410028  0.796747284
## 665  0.7912599443 -0.603525315  0.843011523
## 666 -0.3182086906 -0.272822190  0.439845920
## 667 -0.1554837994 -2.131171094 -0.050389105
## 668  0.1624336624  0.344611929  0.765893569
## 669  0.3265653030 -0.463807347 -0.584369517
## 670  0.0119081938  0.110130581  0.724538913
## 671  0.1399027111 -0.452730171  0.114101736
## 672 -0.2419009325  0.178612021  0.108351571
## 673 -0.6227780482  0.397377185 -0.712170321
## 674  0.7041738552  0.990783603 -1.171223715
## 675  0.0885012089 -0.988909229 -1.417164103
## 676  0.4364452258  0.890154089  0.860778430
## 677 -0.5975279401  0.114867143  0.277734364
## 678  0.5352703353 -0.083275879 -0.860940405
## 679  1.1482475858  0.382011632 -0.383889301
## 680 -0.9230012676  0.426712890 -0.827137893
## 681 -0.3908761006 -0.137132514  0.003002738
## 682  1.4500616865 -0.401691225  0.739639842
## 683  0.9772612800 -0.359357111 -0.301927222
## 684 -0.1330346398  0.810765913 -0.194833068
## 685 -3.0626108042 -1.634929784  0.634537848
## 686 -0.4357406996  0.323547367 -0.262232095
## 687 -0.3796861403  0.690425189  0.344000289
## 688  0.3743607588 -0.612494589  0.284812805
## 689 -1.2488411829  0.282729865  0.401023898
## 690  0.4877438755 -1.406231205 -0.191967594
## 691 -0.7282962532  1.100604142 -0.108909502
## 692  0.2606897666  1.725963633 -0.167282565
## 693  0.3758678313  0.260862320  0.137139798
## 694  0.6988339214 -0.466481064  0.563685357
## 695 -0.3657911478  0.188913866 -0.320318832
## 696 -1.4559828911  0.508120458 -1.484873967
## 697 -0.2970716604  0.143707441  0.511524791
## 698  1.6343183397 -0.534674124 -0.241004062
## 699 -0.5742799487  0.842309089 -0.633565473
## 700  1.1420670527  0.909236389 -0.807238178
## 701 -0.2496971126  0.230309293 -0.434959284
## 702 -0.4124502574 -0.753690001  0.783647650
## 703 -0.3551525823 -1.471949252  0.754622900
## 704  2.9440419593 -1.205404556 -0.676504330
## 705 -0.4997979816  0.377462706  0.009494570
## 706  0.6130763501  0.318509112  0.185284936
## 707  0.0579672366  0.648330722  1.272825693
## 708  0.3876398645  0.358437988 -1.058066348
## 709  0.4274850123  0.549495310  0.194581580
## 710  0.2965847827  0.163066641 -0.510257932
## 711 -0.4948974365  0.866718237 -1.028828650
## 712 -0.2890203905 -0.309395779  0.594524675
## 713  1.6018880947  0.400358349  0.778669126
## 714 -0.7352271158  0.178926080 -0.502303003
## 715 -0.2117995361  0.110059906 -0.508632535
## 716  0.3481294876  0.677754866 -0.096286709
## 717 -0.3879491049  0.105741257  0.803442773
## 718 -0.5039859216 -0.378876888  0.097089773
## 719  0.2273885508 -0.389271073  0.176432382
## 720  0.2460993110 -1.124546747 -0.182419179
## 721 -0.6658170283 -0.039043383 -0.106032914
## 722  0.2579651432  0.044257105 -0.257763076
## 723 -0.3773328024 -1.125266061  0.334827450
## 724  0.0981033165 -0.332256884 -0.268362688
## 725 -0.7427103720 -0.758904096 -0.843987882
## 726  0.5819237324 -0.653343029  0.545118976
## 727 -0.3253153617  0.070668573 -0.380393799
## 728 -0.3816039875 -0.001909658  0.899508780
## 729 -1.1113698241  0.840785836  0.937241223
## 730  0.4973816863  0.311536946 -0.518130041
## 731 -0.5856828111 -0.187509479  0.330439015
## 732 -0.3676351776  1.773143068  0.136956467
## 733  0.4152769588  0.380730288  0.685728640
## 734 -0.1331157530  0.158042065 -0.109740013
## 735 -1.0053741459 -1.234407149 -0.622269134
## 736  0.7849623075 -0.122426457  0.384229572
## 737 -1.2255665583  0.168915467  0.383831994
## 738  0.1107981232  0.017559701 -0.337516255
## 739  0.3774717439  0.457416098 -0.853742374
## 740  0.4696969156 -0.755367665 -1.196014337
## 741  0.6696589906  0.379769780 -0.238417651
## 742  0.6200868256  0.007772446 -0.183916906
## 743 -0.1274618551  0.055862914 -0.163027334
## 744 -0.3277869665  0.814966806 -0.163086311
## 745  0.4201835181  1.497682576  0.565215171
## 746 -0.3462272050  0.564553680  0.160932933
## 747  0.8492856207 -0.228424908  0.725463006
## 748  0.7102183115 -0.610265803 -0.442303602
## 749  0.2272668528 -0.066509145  0.141817840
## 750  0.0125501830 -0.470373379  0.348286932
## 751 -0.0217252401  1.197876341  0.087481797
## 752  0.2487946032 -0.447960335  0.375881298
## 753 -0.0973792939  0.012309439  0.709907890
## 754 -0.5909358623  0.130672179 -0.867174630
## 755  0.2486654846 -0.135314001  1.164686607
## 756 -0.5916915467 -0.643634903  0.223734556
## 757 -0.2508676678 -0.034151548  1.329355935
## 758  0.2421313840 -1.539398295 -0.974515009
## 759  0.3123329597  0.206897939 -0.763842284
## 760  0.0145268856 -1.012507157 -0.050434007
## 761 -0.0425110351  0.076695338  0.326885073
## 762  1.5081047064  0.210255898  0.926381513
## 763 -0.1290104205  0.928422785 -0.190214022
## 764 -0.0772713570 -1.140613537 -0.138500074
## 765  0.5289939485 -0.152010309  0.467227243
## 766 -0.5379193778  0.335344678  0.289250403
## 767  0.1532072800 -1.179539450 -0.533995863
## 768 -0.1499986405 -0.245075649  0.515610204
# Means of scores for all the PC's classified by Survival status
tabmeansPC <- aggregate(diabetestyp_pca[,2:9],by=list(Outcome=diabetes$Outcome),mean)
tabmeansPC
##   Outcome        PC1        PC2        PC3         PC4         PC5        PC6
## 1       D -0.7528341  0.3610712  0.2649390 -0.04415307  0.16450065  0.2576547
## 2      ND  0.4035191 -0.1935342 -0.1420073  0.02366605 -0.08817235 -0.1381029
##           PC7         PC8
## 1  0.03131902  0.07426134
## 2 -0.01678699 -0.03980408
tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$Outcome)),]
tabmeansPC
##   Outcome        PC1        PC2        PC3         PC4         PC5        PC6
## 2      ND  0.4035191 -0.1935342 -0.1420073  0.02366605 -0.08817235 -0.1381029
## 1       D -0.7528341  0.3610712  0.2649390 -0.04415307  0.16450065  0.2576547
##           PC7         PC8
## 2 -0.01678699 -0.03980408
## 1  0.03131902  0.07426134
tabfmeans <- t(tabmeansPC[,-1])
tabfmeans
##               2           1
## PC1  0.40351906 -0.75283406
## PC2 -0.19353416  0.36107119
## PC3 -0.14200730  0.26493899
## PC4  0.02366605 -0.04415307
## PC5 -0.08817235  0.16450065
## PC6 -0.13810290  0.25765466
## PC7 -0.01678699  0.03131902
## PC8 -0.03980408  0.07426134
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$Outcome))
tabfmeans
##              ND           D
## PC1  0.40351906 -0.75283406
## PC2 -0.19353416  0.36107119
## PC3 -0.14200730  0.26493899
## PC4  0.02366605 -0.04415307
## PC5 -0.08817235  0.16450065
## PC6 -0.13810290  0.25765466
## PC7 -0.01678699  0.03131902
## PC8 -0.03980408  0.07426134
# Standard deviations of scores for all the PC's classified by Survival status
tabsdsPC <- aggregate(diabetestyp_pca[,2:9],by=list(Outcome=diabetes$Outcome),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$Outcome))
tabfsds
##             D        ND
## PC1 1.4172980 1.2949356
## PC2 1.3374167 1.2634782
## PC3 1.0626089 0.9594500
## PC4 1.1068095 0.8298610
## PC5 1.0240978 0.7669990
## PC6 0.9376437 0.7239233
## PC7 0.7152300 0.6089024
## PC8 0.7283739 0.5772944
t.test(PC1~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC1 by diabetes$Outcome
## t = -11.102, df = 505.26, p-value < 2.2e-16
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  -1.360990 -0.951716
## sample estimates:
##  mean in group D mean in group ND 
##       -0.7528341        0.4035191
t.test(PC2~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC2 by diabetes$Outcome
## t = 5.5833, df = 519.89, p-value = 3.806e-08
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  0.3594629 0.7497478
## sample estimates:
##  mean in group D mean in group ND 
##        0.3610712       -0.1935342
t.test(PC3~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC3 by diabetes$Outcome
## t = 5.23, df = 500.22, p-value = 2.496e-07
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  0.2540730 0.5598196
## sample estimates:
##  mean in group D mean in group ND 
##        0.2649390       -0.1420073
t.test(PC4~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC4 by diabetes$Outcome
## t = -0.87934, df = 431.2, p-value = 0.3797
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  -0.21940771  0.08376948
## sample estimates:
##  mean in group D mean in group ND 
##      -0.04415307       0.02366605
t.test(PC5~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC5 by diabetes$Outcome
## t = 3.5416, df = 430.85, p-value = 0.000441
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  0.1124481 0.3928979
## sample estimates:
##  mean in group D mean in group ND 
##       0.16450065      -0.08817235
t.test(PC6~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC6 by diabetes$Outcome
## t = 6.0152, df = 440.79, p-value = 3.777e-09
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  0.2664518 0.5250633
## sample estimates:
##  mean in group D mean in group ND 
##        0.2576547       -0.1381029
t.test(PC7~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC7 by diabetes$Outcome
## t = 0.93444, df = 476.28, p-value = 0.3506
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  -0.05305223  0.14926425
## sample estimates:
##  mean in group D mean in group ND 
##       0.03131902      -0.01678699
t.test(PC8~diabetes$Outcome,data=diabetestyp_pca)
## 
##    Welch Two Sample t-test
## 
## data:  PC8 by diabetes$Outcome
## t = 2.2174, df = 449.79, p-value = 0.02709
## alternative hypothesis: true difference in means between group D and group ND is not equal to 0
## 95 percent confidence interval:
##  0.01297193 0.21515891
## sample estimates:
##  mean in group D mean in group ND 
##       0.07426134      -0.03980408
## F ratio tests
var.test(PC1~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC1 by diabetes$Outcome
## F = 1.1979, num df = 267, denom df = 499, p-value = 0.08761
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.973794 1.483673
## sample estimates:
## ratio of variances 
##           1.197915
var.test(PC2~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC2 by diabetes$Outcome
## F = 1.1205, num df = 267, denom df = 499, p-value = 0.2816
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.9108337 1.3877467
## sample estimates:
## ratio of variances 
##           1.120464
var.test(PC3~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC3 by diabetes$Outcome
## F = 1.2266, num df = 267, denom df = 499, p-value = 0.0533
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.9971105 1.5191981
## sample estimates:
## ratio of variances 
##           1.226598
var.test(PC4~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC4 by diabetes$Outcome
## F = 1.7788, num df = 267, denom df = 499, p-value = 3.755e-08
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.446026 2.203166
## sample estimates:
## ratio of variances 
##           1.778832
var.test(PC5~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC5 by diabetes$Outcome
## F = 1.7828, num df = 267, denom df = 499, p-value = 3.326e-08
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.449220 2.208033
## sample estimates:
## ratio of variances 
##           1.782762
var.test(PC6~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC6 by diabetes$Outcome
## F = 1.6776, num df = 267, denom df = 499, p-value = 8.016e-07
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.363740 2.077796
## sample estimates:
## ratio of variances 
##           1.677608
var.test(PC7~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC7 by diabetes$Outcome
## F = 1.3797, num df = 267, denom df = 499, p-value = 0.002259
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.121598 1.708867
## sample estimates:
## ratio of variances 
##           1.379736
var.test(PC8~diabetes$Outcome,data=diabetestyp_pca)
## 
##    F test to compare two variances
## 
## data:  PC8 by diabetes$Outcome
## F = 1.5919, num df = 267, denom df = 499, p-value = 9.489e-06
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.294062 1.971634
## sample estimates:
## ratio of variances 
##           1.591893
# Levene's tests (one-sided)
library(car)
## Warning: package 'car' was built under R version 4.2.2
## Loading required package: carData
## Warning: package 'carData' was built under R version 4.2.2
(LTPC1 <- leveneTest(PC1~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value  Pr(>F)  
## group   1  5.2894 0.02172 *
##       766                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC1_1sided <- LTPC1[[3]][1]/2)
## [1] 0.01086195
(LTPC2 <- leveneTest(PC2~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value  Pr(>F)  
## group   1   5.583 0.01838 *
##       766                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC2_1sided=LTPC2[[3]][1]/2)
## [1] 0.00919206
(LTPC3 <- leveneTest(PC3~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value  Pr(>F)  
## group   1   4.167 0.04156 *
##       766                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC3_1sided <- LTPC3[[3]][1]/2)
## [1] 0.02078086
(LTPC4 <- leveneTest(PC4~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value    Pr(>F)    
## group   1  19.563 1.114e-05 ***
##       766                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC4_1sided <- LTPC4[[3]][1]/2)
## [1] 5.570628e-06
(LTPC5 <- leveneTest(PC5~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value   Pr(>F)    
## group   1  36.368 2.54e-09 ***
##       766                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC5_1sided <- LTPC5[[3]][1]/2)
## [1] 1.269841e-09
(LTPC6 <- leveneTest(PC6~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value   Pr(>F)   
## group   1  7.2991 0.007052 **
##       766                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC6_1sided <- LTPC6[[3]][1]/2)
## [1] 0.00352575
(LTPC7 <- leveneTest(PC7~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value    Pr(>F)    
## group   1  12.511 0.0004289 ***
##       766                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC7_1sided <- LTPC7[[3]][1]/2)
## [1] 0.0002144468
(LTPC8 <- leveneTest(PC8~diabetes$Outcome,data=diabetestyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value    Pr(>F)    
## group   1  14.067 0.0001897 ***
##       766                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC8_1sided <- LTPC8[[3]][1]/2)
## [1] 9.486496e-05
# Plotting the scores for the first and second components
plot(diabetestyp_pca$PC1, diabetestyp_pca$PC2,pch=ifelse(diabetestyp_pca$Outcome == "S",1,16),xlab="PC1", ylab="PC2", main="768 Patients against values for PC1 & PC2")
abline(h=0)
abline(v=0)
legend("bottomleft", legend=c("Diabetic","Non-Diabetic"), pch=c(1,16))

plot(eigen_diabetes, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")

plot(log(eigen_diabetes), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")

print(summary(diabetes_pca))
## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.4472 1.3158 1.0147 0.9357 0.87312 0.82621 0.64793
## Proportion of Variance 0.2618 0.2164 0.1287 0.1094 0.09529 0.08533 0.05248
## Cumulative Proportion  0.2618 0.4782 0.6069 0.7163 0.81164 0.89697 0.94944
##                            PC8
## Standard deviation     0.63597
## Proportion of Variance 0.05056
## Cumulative Proportion  1.00000
diag(cov(diabetes_pca$x))
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 2.0943799 1.7312101 1.0296299 0.8755290 0.7623444 0.6826284 0.4198162 0.4044620
xlim <- range(diabetes_pca$x[,1])
diabetes_pca$x[,1]
##   [1] -1.067806862  1.120952811  0.396218504  1.115054156 -2.357797682
##   [6]  1.434816261  0.929569845  2.148406325 -3.295777171  1.838652045
##  [11]  0.532206965 -0.447648966 -0.703519595 -3.784640161 -1.007494805
##  [16]  2.414600089 -2.209870937  1.179817980  0.154019940 -0.333030410
##  [21] -2.035423962  0.292214484 -1.125944080 -0.059816990 -1.986235966
##  [26] -0.446739972 -0.115431584  1.066311830 -0.610206498  0.354706149
##  [31] -0.597672485 -1.801059862  1.772412677  1.728014295 -0.379868758
##  [36] -0.325085475  0.199737520 -0.669707496 -0.095994098 -2.573770162
##  [41] -0.514649628 -0.395481909  0.485829044 -3.594902619  0.668395536
##  [46] -2.325769110  1.038568883  1.115065590 -0.122567195  4.353716521
##  [51]  1.275941525  1.550773073  1.215658193 -2.937703952 -2.505575096
##  [56]  2.548801700 -2.547666030 -2.361423312 -1.272541325 -0.473681297
##  [61]  4.853806684  0.522305603  2.161297211 -0.175456571  0.870625784
##  [66]  0.669185517 -0.440465299 -0.609895141  1.811883391 -0.351247459
##  [71]  0.074772124 -0.431565023 -0.825041632 -0.931913053  0.805006910
##  [76]  3.181695438  1.206417524  0.039222595  1.819437901  1.189413754
##  [81]  2.115441989  5.124894255 -0.070370032  1.367831789 -0.924730974
##  [86] -0.393695970 -1.063161674  0.127602244 -1.254250558  1.364510297
##  [91]  2.860849848 -0.434536840 -1.030132797  0.824778520  0.088602534
##  [96] -1.203699256  1.110503746  2.174075436  0.870697294 -2.520269744
## [101] -0.605897383  1.541380328  1.384987740  1.384236521  0.750269746
## [106] -0.090423704  1.169450490 -0.285866499  0.766913824  0.240858697
## [111] -0.886119674 -2.551470358  0.609145897  1.635396963 -1.101769999
## [116] -0.349751995  0.704722972  1.635474439  1.120789767  1.309804877
## [121] -2.852482401  0.128750959 -0.051322575  0.413265878  1.238673539
## [126] -0.640693712 -0.997162300  0.140354396 -0.738010497  0.462914182
## [131] -0.589838227  0.305784727 -1.473100199 -0.229455833  1.324287971
## [136]  0.224406143  0.520940756  0.818649350  0.639795330 -0.998901308
## [141]  1.071380114 -0.419093149  0.745653455  0.841540949 -1.022081681
## [146]  2.460769206  0.363795951 -0.883619488 -0.088258646  1.606502333
## [151] -1.544333905  1.570467614 -2.297422500 -3.144103916 -1.084046909
## [156] -2.168322840  1.251713809  0.544139309  1.086425606 -2.790369002
## [161] -0.714682333 -0.888478417 -1.462782814  1.077850916  0.360297944
## [166] -0.398162383  0.271399127  0.823796489  1.130675366  0.265850050
## [171]  1.038069756 -0.698503378  2.075747585 -0.334425214  0.946324876
## [176] -1.996697468  1.032526444 -3.370928818 -0.360862134 -0.394469168
## [181]  1.841098399  0.087727432  2.326303042  2.150869054  0.847420146
## [186] -1.480735786 -3.329421351 -1.688139018 -0.643513018 -0.918940898
## [191]  2.167413320 -1.036885964  0.453893426  0.342057106  1.423364595
## [196] -2.123341101  2.257604443  1.188321102 -0.876867074 -0.850238032
## [201]  0.401873780  0.341919843  0.674175717  1.546153277 -1.220806583
## [206]  0.741203385 -3.023547327 -0.711918824  0.590341656 -1.451776157
## [211]  1.524408539 -1.476209193 -1.629170272 -0.771167443 -1.002334326
## [216] -2.818925025 -0.629450744 -0.383174371  0.145265129  0.699219839
## [221] -2.543852987 -0.708232561  2.596568115 -1.430121506  1.110032739
## [226]  0.704675275  1.263454864 -0.625286217 -5.723425277 -0.484292298
## [231] -0.352575509 -2.833505109  0.935797302  0.831133863  1.004846592
## [236] -0.357568649 -2.188788161 -1.529886734 -0.919069509  1.887785162
## [241]  1.371452616  0.144905386  1.570804282 -0.513546360 -1.364151827
## [246] -1.570524540  0.729282028 -4.348585119 -1.864211408  0.808992634
## [251]  1.145212324  1.048494921  1.294220879  0.692816927 -0.423168470
## [256]  0.258794131  0.283307307  1.074294433 -1.056676322 -2.384664410
## [261] -0.654938533  1.920947255  0.315978144 -0.278426919  1.138583995
## [266] -0.396109443  1.604239906 -1.029861681  2.487365107  2.449583605
## [271] -1.859496551  1.011133279  1.300248121  0.053085819  0.422971031
## [276] -0.987293380  0.967863061  0.672019487  0.601392509  0.142110516
## [281]  0.550939468 -0.991806619 -0.666962274  0.050145596  1.037846818
## [286] -0.854568820 -3.660757991 -2.203921638  1.628900572 -0.601353598
## [291]  0.195126195 -0.147713228 -2.246907916 -1.139278834  1.097979075
## [296] -1.052941806 -1.383734403 -0.746556107 -1.242062178  0.528107199
## [301]  1.469575172 -0.357192734 -0.155597513 -0.537036501  1.196753312
## [306] -0.756556787 -0.712447604  0.778910488 -0.782485311 -0.952378029
## [311]  0.849855650 -0.742391188  0.042293968  0.911254518 -1.087295063
## [316]  0.235533677  1.356924566  0.317965521 -0.572826301  0.054205879
## [321] -0.021358713  0.476607673  0.802506443 -1.350179874  0.313333278
## [326]  0.071976094 -0.717241570 -0.117526758 -0.909867303  0.115938101
## [331] -0.358239572  1.271641045  0.910785738  1.110533507  1.574593043
## [336] -2.420691208  1.686609351  0.737185230 -1.926239282 -0.700773250
## [341]  0.630943021  0.487164176  1.774315459  0.493016612  0.287235221
## [346] -1.643388485  0.575141426  3.137070804  1.361522930  0.748013556
## [351]  0.692279683  0.666096876  0.458281917  1.336715768  0.635237934
## [356] -0.258032259 -0.839492972  0.163249487 -0.798134144 -2.524435944
## [361] -2.029518330  0.191517276 -1.511755321 -0.593332880 -1.386884055
## [366]  0.205594593  1.101341339  1.900665135  0.967916311 -1.135235052
## [371] -4.648002656  1.186082167  0.634991105  0.055789479 -0.973654993
## [376] -3.206383712  1.044838639  0.119158281 -0.402564036 -1.696757087
## [381] -0.104980492  1.692786069  0.579857039  0.652507835  0.616459264
## [386]  1.662139216 -0.207895276 -1.318668289 -1.894252503 -0.041735798
## [391] -0.374054276 -0.432297524 -0.256785233  0.719634581 -0.044803814
## [396] -1.167091086  0.013387604  0.127002231  2.192048710 -0.697510988
## [401]  1.566070733  1.080430832 -1.152123507  0.516457397  0.431725895
## [406] -0.697460967  0.920909399  2.219024655 -0.652695777 -3.864766524
## [411] -0.735651076 -0.505179703 -2.277964828  0.490728947 -0.616420707
## [416] -2.565650274  0.666288457 -1.048032618  2.233806155  0.276655504
## [421] -1.793967819  0.982652059 -0.528446055  0.814664490 -2.209215477
## [426] -2.280163648  4.778942564 -1.258152630 -1.656092441 -0.455960443
## [431]  3.523232421  0.385272268  1.116329535  1.292400648  0.994685857
## [436]  1.744924956 -1.138254166  0.631980095  2.101536761  0.158499838
## [441] -1.394407295  0.795409378  0.090917364  0.545998192  0.971750606
## [446] -4.691359988  0.903711979 -0.478839655  0.120940759  0.559983193
## [451]  1.669547851  1.052455850 -0.513186287  2.009963471  0.108622342
## [456] -0.839812786  0.726836154  0.579449460 -3.248112347 -1.162795283
## [461] -0.010040472  2.473293829 -0.495809257  0.598449682  0.163966466
## [466]  1.271409865  2.092391029 -0.208777128  2.275406328 -2.230577806
## [471] -1.206500668  0.118272399  0.323554905  0.224499183  1.656635502
## [476] -0.173481253 -1.252914348  0.331936503 -0.270188425 -0.672983124
## [481] -1.764686172 -0.271389503  1.181916318 -0.087078580  1.211772067
## [486] -1.588512172 -2.402279588 -3.484366324  1.208140750 -0.687638546
## [491]  0.210582223  0.027143626  0.328317344 -0.732071533  4.954207224
## [496]  0.034342584  1.522924586  0.859852433 -1.356745573 -1.566035788
## [501]  0.530413552  0.374209706  0.421056806 -0.237644959 -0.262028308
## [506]  0.972782353 -1.316926456 -0.021759042  0.717888801  0.488890860
## [511]  0.161065507  0.651663185  1.310894262  1.852346259  1.382963099
## [516] -0.250013044 -2.017094436 -0.100863787  1.301260114 -0.956711194
## [521]  1.212287069 -0.552724967  4.342247728  0.070723009  1.495918118
## [526]  1.802592467  1.669165295  0.838799964 -0.204346368  1.519854189
## [531]  0.311881678  0.274496030 -1.042091201  2.577782987  0.165075090
## [536]  2.269486814  0.967599699  1.775531578 -1.422274737 -2.198867275
## [541] -1.782921503 -0.629294171 -1.003538410  0.044943260  0.286692851
## [546] -2.461415292 -3.100545366 -0.168264564 -1.453969196 -1.624167813
## [551]  0.935593106  0.193318156  0.391027250  1.017786717  0.263851366
## [556] -0.466283478  0.061993821  0.730041831 -0.946963409  1.164246427
## [561]  0.440018171 -2.262666499  0.077131183  0.788443605  1.155178949
## [566]  1.120431518  0.172411588  0.015502356 -0.788757563 -0.288130138
## [571]  1.449198303  1.236652862  0.573417417  0.724680027 -1.745147456
## [576]  0.026878093  0.518551358  0.171004348  0.929610735 -3.467786295
## [581] -1.303902774  1.079549763 -0.074371980  0.535974295 -2.686781892
## [586]  2.037540613  0.477795761  1.757475645 -2.373300076  3.757374807
## [591] -2.080395588 -1.051886778  0.298394165  0.030148883 -1.721527706
## [596] -1.117947276  0.797657754  1.964001442  0.202067531  1.436056975
## [601]  0.753902839  3.170503939  0.452734833 -1.764465692  1.755031093
## [606]  0.178242874 -3.104311999  1.465836303 -1.985304161  1.087535352
## [611]  0.553451090 -1.082977205 -3.280092061 -0.232763386 -1.554205085
## [616]  1.705339648  0.833460707  2.334839033 -0.847689262  2.725092938
## [621] -1.123627218  0.146860525 -1.951990537 -0.202039914  1.722099087
## [626] -0.775760819  1.825393322  0.959224477  0.453758515  1.550656489
## [631]  0.964938610 -0.158831788  1.838521768  0.227481489  1.756229038
## [636]  0.643287562  1.135022962  0.445048493 -1.128747306  1.705304983
## [641]  0.144202179  0.918812691  0.362433524  2.680463213 -0.189030918
## [646] -2.317159104 -0.177348791 -1.067618142 -1.086502690  1.434697841
## [651]  1.313700636  0.165130865 -0.553864402  1.646243803  0.192940193
## [656] -2.002555461  1.116538676 -2.384397046 -0.637040015 -0.647629729
## [661] -0.016280254 -2.487272281 -2.919355810 -2.174343450 -0.074536367
## [666] -0.653533539 -0.625526968  0.407386866 -0.598934000 -0.990021278
## [671] -1.574871006  1.695306323 -0.502272520 -3.166539758 -0.049326075
## [676]  0.075468416  0.202273330  1.646076203  1.407234083  0.422928592
## [681]  1.787710971 -1.411434740 -0.491258901  0.643531068  1.492335504
## [686] -0.771349598  1.710641820  1.498853648 -0.412356524 -2.407488289
## [691]  0.774523606 -1.369204861 -0.894261844 -1.665246899  2.341942451
## [696] -2.166713631 -0.454311389  3.337369722 -0.611821287 -0.067477321
## [701] -0.814586154 -0.374933435 -1.596261741  1.756862945  0.538391830
## [706] -0.025569357  4.051332060 -0.258175270 -0.004186573 -0.447583358
## [711] -0.935358746 -0.182060365 -0.909927483  0.034140870  1.491271323
## [716] -2.511118742 -2.152716849  0.439332340 -0.635427126 -0.201458724
## [721]  0.757407402 -0.623733935 -0.520850597 -1.040924271  0.559188908
## [726] -0.609491220 -0.724792982 -0.029383730  0.750793925  2.179171015
## [731]  0.004674951  0.974937640 -2.243237682  0.395662462  1.117140500
## [736]  0.513343281 -0.126238488  0.455728228  0.261047845  0.685407287
## [741] -2.278377382  0.941627064  0.990532775 -0.479590554 -2.940084100
## [746] -0.883529466 -1.732518549 -1.279256758 -1.538174530  0.810881974
## [751]  0.313915576 -0.686663174  1.214175365 -3.536839474 -0.943422396
## [756] -1.752981178 -1.001203786  0.546171231  1.061503814 -1.084444104
## [761]  0.926482778 -1.674875045  2.012865700 -1.561067382  0.100340070
## [766]  0.283290637  1.059633773  0.839344740
diabetes_pca$x
##                 PC1          PC2          PC3           PC4           PC5
##   [1,] -1.067806862  1.234090757  0.095867368  4.966665e-01 -0.1099132790
##   [2,]  1.120952811 -0.733373746 -0.712473852  2.848706e-01 -0.3892535190
##   [3,]  0.396218504  1.594836615  1.759531796 -7.034879e-02  0.9058835066
##   [4,]  1.115054156 -1.270413093 -0.663296973 -5.787458e-01 -0.3558278959
##   [5,] -2.357797682 -2.183396333  2.961176841  4.030472e+00  0.5922982735
##   [6,]  1.434816261  0.835032943 -0.220188660 -4.475530e-01  0.4436833028
##   [7,]  0.929569845 -1.107218102 -0.536228863 -1.445658e-01 -1.2508762973
##   [8,]  2.148406325  0.855344470  1.253824488 -6.378529e-01 -1.2338619618
##   [9,] -3.295777171 -0.241996927  1.869642773 -3.032619e+00 -1.1020611752
##  [10,]  1.838652045  3.204572290  0.660301809 -3.767756e-01 -0.5097192236
##  [11,]  0.532206965  0.647185445 -1.365946780 -2.870690e-01  1.1840699108
##  [12,] -0.447648966  1.927673986  0.417177197 -3.139047e-02  0.9789396898
##  [13,] -0.703519595  2.847065556  1.656130591  2.692405e+00  0.4207182669
##  [14,] -3.784640161 -0.524980983  3.616694044 -3.319283e+00 -1.4681925451
##  [15,] -1.007494805  1.275379750  1.424970355 -4.720614e-01 -0.0179935763
##  [16,]  2.414600089  0.342270472  1.766003072  3.427586e-01 -1.1007290421
##  [17,] -2.209870937 -1.753589136 -0.939557406 -1.260106e-01 -0.0157632755
##  [18,]  1.179817980  1.120506726 -0.467570771 -1.192156e-01  0.1684562364
##  [19,]  0.154019940 -1.391740693 -0.318005055 -5.744737e-01 -0.8047995321
##  [20,] -0.333030410 -0.877046036 -0.246559627  1.362972e-01  0.1084890755
##  [21,] -2.035423962 -1.213617776 -0.368010376  1.432944e-01 -0.2025569494
##  [22,]  0.292214484  2.227179832 -0.834633612  5.264897e-01  0.1382160610
##  [23,] -1.125944080  2.081456071  0.245693105 -5.728048e-01  2.0435188731
##  [24,] -0.059816990  0.765744394 -0.960672312 -1.159440e-01 -0.9049779357
##  [25,] -1.986235966  2.172673898 -0.767974598 -6.168958e-01 -0.9420038087
##  [26,] -0.446739972  1.444374350 -0.225433603 -6.264237e-01 -1.2640520804
##  [27,] -0.115431584  1.863873590 -0.306591210 -4.723917e-01  0.9900508460
##  [28,]  1.066311830 -1.162867506  0.357049964 -6.075180e-02 -0.1839095928
##  [29,] -0.610206498  3.296004903  0.376474491 -6.373178e-01 -1.3833910655
##  [30,]  0.354706149  1.274696465 -0.864670362  4.033645e-02  1.0110643778
##  [31,] -0.597672485  1.588193453 -0.571995163  8.262329e-01 -0.2566604700
##  [32,] -1.801059862 -0.973944510  1.088018517 -1.482012e-02 -0.0197674938
##  [33,]  1.772412677 -0.604472895 -0.113848222 -2.132337e-01 -0.3799579053
##  [34,]  1.728014295  1.023870122 -0.841476865 -1.516382e-01  0.0882989840
##  [35,] -0.379868758  1.793043724 -0.313540252  5.686280e-01 -1.0175377867
##  [36,] -0.325085475 -0.752537890  1.142872973  1.080096e+00 -1.2318541889
##  [37,]  0.199737520  2.116944330 -0.007353667  5.672587e-02  0.2283670467
##  [38,] -0.669707496  1.292634455 -0.673243978  1.233193e+00 -1.1692337748
##  [39,] -0.095994098 -1.197090540 -1.251479711  7.194905e-01 -0.3564861069
##  [40,] -2.573770162 -0.029216804  0.863457833  2.296661e+00 -1.0248751718
##  [41,] -0.514649628 -0.281067211  0.513311815 -1.277694e+00  0.8469551206
##  [42,] -0.395481909  1.375073091 -0.233956468  8.015108e-01  1.1616013764
##  [43,]  0.485829044  1.903943946 -0.847747850 -3.486334e-03 -0.4780882592
##  [44,] -3.594902619  1.980957249 -0.158479004 -2.636791e-02  0.4356412096
##  [45,]  0.668395536  1.796905836  0.780971651 -6.655706e-01  0.6176258662
##  [46,] -2.325769110 -1.682533513  1.803596970  3.031749e+00  1.9395979590
##  [47,]  1.038568883 -0.116574378  1.012403214 -3.957443e-02  1.4130768405
##  [48,]  1.115065590 -1.133172378 -0.816711245  1.039009e+00 -0.3920769394
##  [49,] -0.122567195  0.202000837 -1.099915201  2.755047e-01 -0.6664367758
##  [50,]  4.353716521  0.397434611  2.930891052 -4.234297e-01 -1.9816499829
##  [51,]  1.275941525 -0.740560677  0.127317492  5.467222e-02  0.3171530173
##  [52,]  1.550773073 -0.882885457  0.585072380  2.873372e-01 -0.0745320907
##  [53,]  1.215658193  0.082981417 -0.414902305  2.101654e-01 -0.7992794354
##  [54,] -2.937703952  1.757758478  0.728717553 -1.024282e+00 -0.6803789333
##  [55,] -2.505575096  0.004527801  1.199478847 -3.558466e-01 -1.4246199149
##  [56,]  2.548801700 -0.998964712 -0.195777351  9.074305e-04 -0.3142285201
##  [57,] -2.547666030  0.449805646  0.868579683 -1.862866e+00 -0.7070804343
##  [58,] -2.361423312 -1.987188256 -1.366489473  1.549474e+00 -0.0661110082
##  [59,] -1.272541325  0.159104577  1.488400464  3.238167e+00  2.6422765365
##  [60,] -0.473681297 -1.978609521 -1.098647588 -8.013898e-01 -0.2869696193
##  [61,]  4.853806684 -0.755909832  2.622470097 -2.982758e-01 -1.5546870700
##  [62,]  0.522305603  1.793253043 -0.114965718 -3.187043e-01  0.4100599103
##  [63,]  2.161297211  0.511217412 -0.371329169  1.431742e+00 -0.7452224647
##  [64,] -0.175456571 -1.193171771  1.089291428  2.580418e-02 -0.2350715240
##  [65,]  0.870625784  1.620623356 -0.215057987 -1.324419e-01  0.1369967515
##  [66,]  0.669185517  0.241896328 -1.011901720 -1.280172e-01 -0.5386692820
##  [67,] -0.440465299 -0.482602512 -0.547956737  1.374110e+00  0.7507896884
##  [68,] -0.609895141  1.249529356 -0.598269521  1.503267e+00  1.6290218194
##  [69,]  1.811883391 -0.649394331  0.043954305 -1.217999e-01 -0.0436711590
##  [70,] -0.351247459 -0.049013225 -0.378027931 -1.084346e+00  0.2115090619
##  [71,]  0.074772124 -0.913156621  0.266497607  1.147461e+00  0.1094790754
##  [72,] -0.431565023 -0.494649650  0.391920510 -5.845412e-01 -0.6726898424
##  [73,] -0.825041632  2.715798126 -0.788320099  8.187880e-01  0.3297255022
##  [74,] -0.931913053 -0.662257376 -0.308754529 -1.275699e+00 -0.0657155039
##  [75,]  0.805006910 -1.261995612 -1.310775428  4.846418e-01 -0.0815224682
##  [76,]  3.181695438 -1.552619002 -1.570629917  6.879683e-01 -1.7124146264
##  [77,]  1.206417524  1.352382043 -1.131404402  8.871006e-01 -0.3671508579
##  [78,]  0.039222595 -0.360521079 -1.317466436  3.801922e-01 -0.4281342595
##  [79,]  1.819437901 -1.129341266  1.322848193 -7.018698e-01  0.7417418711
##  [80,]  1.189413754 -0.597212881 -0.245795929 -2.132702e-01  0.0752365314
##  [81,]  2.115441989 -0.447993425  0.395891649 -7.370304e-01 -0.2741376432
##  [82,]  5.124894255 -0.683148996  2.218416539 -6.740275e-01 -1.7828770273
##  [83,] -0.070370032  0.411005065 -0.392939075  1.361189e+00 -0.9933038163
##  [84,]  1.367831789 -1.218514823 -0.546701273 -3.016284e-01 -0.0229190166
##  [85,] -0.924730974  1.335084711 -1.839533015 -3.491162e-01  2.0154776600
##  [86,] -0.393695970 -1.030277887 -0.044715566  5.245963e-01 -0.0576071826
##  [87,] -1.063161674  1.706784973 -1.585798861  1.010422e-01 -2.3111420916
##  [88,]  0.127602244 -0.934056465 -0.898600559 -1.174438e-01  0.0497315851
##  [89,] -1.254250558  2.319232619 -0.518445254 -6.942362e-01 -1.8224903363
##  [90,]  1.364510297 -0.686108737 -0.580223589 -5.224337e-01  0.2659174268
##  [91,]  2.860849848 -0.659003548  0.109405594 -9.833383e-02  0.0567777890
##  [92,] -0.434536840  0.098744831  0.059126316 -3.647119e-01  0.0558848655
##  [93,] -1.030132797  0.439057822 -2.119784433  3.711873e-01 -1.0613143128
##  [94,]  0.824778520  2.315939695  0.476393605 -3.443025e-01  0.5043564083
##  [95,]  0.088602534 -0.659673362  0.585336921  3.719037e-01  0.8959647754
##  [96,] -1.203699256  0.488161047  0.258550299 -1.158645e+00 -0.6419232193
##  [97,]  1.110503746 -0.888241332 -1.051569301 -3.580891e-01 -0.3197799402
##  [98,]  2.174075436 -1.302282173  0.156930478 -1.424174e-02 -0.9164136866
##  [99,]  0.870697294 -0.571714661 -0.141104731  4.363343e-02 -1.3290554535
## [100,] -2.520269744 -1.526750087 -1.614189430 -6.375237e-01 -0.0456079892
## [101,] -0.605897383 -0.022464417  1.277581527  1.534861e+00  2.4315584156
## [102,]  1.541380328 -0.232805053  0.591997095 -1.126837e+00  1.3639946292
## [103,]  1.384987740 -0.245772044 -0.513251869 -5.395637e-01  1.6595784355
## [104,]  1.384236521 -0.900613956 -0.789945487 -8.318970e-03 -0.0894787023
## [105,]  0.750269746 -0.554032599 -0.121879292  1.757990e+00  1.0035989926
## [106,] -0.090423704 -1.656362048  1.036296848  3.619241e-01 -0.0951822170
## [107,]  1.169450490  0.357779017 -1.689793504 -1.764191e-01  1.4571290044
## [108,] -0.285866499  0.059642834  0.606222583 -9.450216e-01 -0.4643583082
## [109,]  0.766913824 -0.958310839 -0.916807078  2.633443e-01 -0.6539940078
## [110,]  0.240858697 -1.139123252 -1.599568793 -1.599945e-01  0.6079179761
## [111,] -0.886119674 -0.632025411  0.156183577 -1.517106e+00  0.3809649500
## [112,] -2.551470358  0.454496729  1.893762347 -1.330257e+00 -1.6548224467
## [113,]  0.609145897 -1.223646844 -1.367182672 -2.544447e-01 -0.2611970280
## [114,]  1.635396963 -0.114332851 -0.638840409  5.045909e-01  0.1830415834
## [115,] -1.101769999  0.459824889  1.342495162 -4.075638e-01 -0.8275326021
## [116,] -0.349751995  2.432752175  0.108000806  2.774375e-01  1.3413494169
## [117,]  0.704722972  1.186172870 -0.412619267 -3.953237e-01  0.7626604365
## [118,]  1.635474439 -0.153289260  0.131491028  1.122463e+00 -0.0806746377
## [119,]  1.120789767 -0.600856224 -0.303853416  3.612053e-01 -0.3875445369
## [120,]  1.309804877 -0.290150984 -0.513581414 -3.853496e-01 -0.2269880738
## [121,] -2.852482401 -1.982510006 -0.694287597  2.479874e-01  0.9751800638
## [122,]  0.128750959 -0.371042075 -0.957627423 -1.258117e-01 -0.7792623352
## [123,] -0.051322575 -1.131145429 -0.641618241 -1.149784e-01 -0.0872855756
## [124,]  0.413265878  3.027319256  0.022830006 -4.259932e-01  0.4493878339
## [125,]  1.238673539 -0.539753986 -0.597535704 -3.198068e-01  1.4797345363
## [126,] -0.640693712 -2.225974145 -0.722947309  4.009471e-01 -0.6400894644
## [127,] -0.997162300 -0.765715274 -0.561625072 -1.468432e-01  0.0390155914
## [128,]  0.140354396 -1.454778455 -0.314213033 -6.536633e-01 -0.2835733434
## [129,] -0.738010497 -0.207054683 -0.591674788 -2.692880e-01  0.3555060930
## [130,]  0.462914182  1.449309490  0.166784985  1.168867e+00  1.1301657755
## [131,] -0.589838227  0.321003662  1.051022506 -1.232060e+00  0.5761545332
## [132,]  0.305784727  1.124897558  1.209538719  1.888115e+00  0.2111820534
## [133,] -1.473100199 -0.749149498  0.754812270 -1.351836e+00 -0.1228859063
## [134,] -0.229455833  0.762390417 -1.352648107  8.878057e-01 -0.9777496246
## [135,]  1.324287971 -0.554421694  0.378290315  6.657069e-01 -0.0173980908
## [136,]  0.224406143 -0.509101262 -0.096145117 -1.273686e+00 -0.0587392008
## [137,]  0.520940756 -1.508434995 -0.344071227  5.108460e-01  0.2964438246
## [138,]  0.818649350 -1.608519400 -0.014447406  2.687423e-01 -0.1711825117
## [139,]  0.639795330 -0.227730252  0.216396611  5.808364e-01  1.8113528333
## [140,] -0.998901308 -0.789327384 -0.394716087 -1.272970e+00 -1.2496276242
## [141,]  1.071380114  1.938105248  0.306636294 -3.463068e-01  0.6161519418
## [142,] -0.419093149  0.445157584 -1.510497907  1.303552e-01 -0.0813066535
## [143,]  0.745653455 -1.177960515 -0.135191604 -3.183594e-01 -0.2688699927
## [144,]  0.841540949  2.116588113 -0.277857098  4.778024e-02 -0.3817392550
## [145,] -1.022081681 -0.986328617  0.711526032 -1.678149e+00 -0.5579781128
## [146,]  2.460769206 -0.875194685  0.826444580  3.722259e-01 -0.3455963436
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## [602,]  3.170503939  0.122188486  1.590523416 -4.374432e-01 -1.2893901689
## [603,]  0.452734833 -0.566421565 -0.856965584 -7.979715e-01  0.0581072954
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## [607,] -3.104311999 -1.985638103  1.536102104  5.656525e-01  0.7765793431
## [608,]  1.465836303 -1.013220056  0.138777566  2.957393e-01 -0.4809180989
## [609,] -1.985304161 -1.564932324 -0.340349341 -1.468863e+00  0.3619358603
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## [612,] -1.082977205 -0.154979484  1.533949555 -7.395795e-01  0.3644156695
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## [686,] -0.771349598 -1.114879973  0.322375099 -2.416409e-01  0.0760122841
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## [693,] -0.894261844 -1.371693946  0.007274084  9.665692e-01  0.3539503191
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## [698,]  3.337369722 -1.275278364  1.642042110 -4.880249e-01 -0.2784622382
## [699,] -0.611821287 -0.080279812 -0.055902568  3.278001e-02  0.6274197642
## [700,] -0.067477321 -0.080406609 -0.050307729  1.364891e+00  1.4445920376
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## [703,] -1.596261741  0.723914711  0.366736052  8.771368e-01  1.4690186301
## [704,]  1.756862945  0.051422289  1.641959104 -4.842986e-01  0.1522315218
## [705,]  0.538391830 -0.152238558 -0.621484446 -8.538342e-01 -0.2937026304
## [706,] -0.025569357 -0.155388098 -2.149221582  1.588342e-01 -0.7559013209
## [707,]  4.051332060  1.313355359  3.046454539 -5.524353e-01 -2.3309083294
## [708,] -0.258175270 -1.591406119  0.905208968 -1.758202e+00 -0.7496648977
## [709,] -0.004186573  2.558060110  0.052318031 -9.407587e-01  0.7196288861
## [710,] -0.447583358 -1.630357624 -0.273291045  5.650160e-01 -0.4637625050
## [711,] -0.935358746 -0.919441933  1.443403878 -1.961405e+00 -0.1238944613
## [712,] -0.182060365  0.706517388 -0.330936784  1.216385e-01 -0.1130611408
## [713,] -0.909927483  1.057699412 -0.604762023  3.172379e-01 -0.8632999843
## [714,]  0.034140870 -1.690348050  1.160667271 -1.346324e+00 -0.1828998077
## [715,]  1.491271323  0.491463707 -0.688110930 -4.810501e-01  0.5995195897
## [716,] -2.511118742 -0.319309244  2.590541204 -8.254163e-01 -0.9436315732
## [717,] -2.152716849 -0.718865865  1.106018678  3.231652e-01  0.4075815563
## [718,]  0.439332340  2.461680170  0.021799472  1.119237e+00 -1.3467408071
## [719,] -0.635427126 -1.913237953 -0.312695825 -3.441667e-01 -0.8371944098
## [720,] -0.201458724  1.156423720 -1.042658451  5.093855e-01 -0.4445731713
## [721,]  0.757407402  0.318773228 -1.306902024  3.670320e-01 -0.1506322074
## [722,] -0.623733935 -1.808533032 -0.480877153 -8.108083e-01 -0.3426077048
## [723,] -0.520850597 -0.095746102  0.483742723 -8.243987e-01  0.1795262419
## [724,] -1.040924271  0.543641895 -1.155203106 -3.825896e-01 -0.2318665593
## [725,]  0.559188908  0.968724865 -0.981955979 -1.214194e-01  1.3891895829
## [726,] -0.609491220  0.075195753 -1.517912902 -8.372119e-02 -0.2475408441
## [727,] -0.724792982 -1.334020247 -0.349709881 -2.258672e-01  0.1376199664
## [728,] -0.029383730 -0.950753491 -0.558894866 -2.110328e-01  1.2649558736
## [729,]  0.750793925  0.326884503  0.503777556 -9.773032e-01  1.9976947495
## [730,]  2.179171015 -0.490952758 -0.287304734 -4.483084e-01  0.3414928178
## [731,]  0.004674951  0.076536250 -0.173470614 -4.958128e-01  0.1535838152
## [732,]  0.974937640  1.020087108 -0.609160017 -2.750314e-01  0.4671460549
## [733,] -2.243237682 -0.998610048 -0.271735092 -2.767036e-01  1.2811192180
## [734,]  0.395662462 -1.388585892  0.309833961 -3.409127e-01 -0.6412649465
## [735,]  1.117140500  1.366901728  0.324907886  6.495121e-01  0.5658378897
## [736,]  0.513343281 -0.516031246 -0.967169431  9.316834e-02 -0.5739822708
## [737,] -0.126238488 -1.314292545 -0.167748558 -2.113109e-01  0.5665964236
## [738,]  0.455728228  0.992750600 -0.960877394  1.438360e+00 -1.2225916257
## [739,]  0.261047845 -1.329743170 -0.088812767 -1.358487e-01 -0.0915743411
## [740,]  0.685407287  0.475302698 -0.850457225  3.242402e-02  1.1722330025
## [741,] -2.278377382  1.395596953 -0.351736852  9.875549e-01 -1.2460934237
## [742,]  0.941627064 -0.850364140  0.385237221 -1.311161e-01 -0.6050201391
## [743,]  0.990532775 -1.152890760  0.045530686 -7.938976e-01 -0.0906299257
## [744,] -0.479590554  2.364821142  0.029166054  8.828244e-01  0.8493673319
## [745,] -2.940084100  1.428945064  0.401940618  1.584368e+00 -0.7117160986
## [746,] -0.883529466  1.843509349 -0.667428858  5.600112e-01 -1.8372022928
## [747,] -1.732518549 -0.883948037 -1.816848533 -2.417774e-01  1.3911791545
## [748,] -1.279256758 -1.526869053 -0.928343179  2.228727e+00  0.0421440959
## [749,] -1.538174530  0.040070555  1.007229825 -1.329165e+00  0.7847888768
## [750,]  0.810881974  2.228148887  0.938698111 -9.856666e-01  0.5342055596
## [751,]  0.313915576 -0.125621561  1.161435074  1.722043e+00  1.4176893023
## [752,] -0.686663174 -1.076485436 -1.156380038 -4.968229e-01  0.2041032783
## [753,]  1.214175365 -0.451475716 -0.376678469 -3.440475e-01 -0.2607429631
## [754,] -3.536839474 -2.030174014  0.387173126 -2.643623e+00  0.0669143554
## [755,] -0.943422396  1.557927855 -0.162869644 -2.251575e-02 -0.1698955785
## [756,] -1.752981178 -0.808037178 -0.012366183  1.374616e+00  0.4911692938
## [757,] -1.001203786  0.923553213 -0.961882735  5.476746e-02 -0.3245118684
## [758,]  0.546171231  0.975959235 -0.318807144 -3.121721e-01  1.3774254197
## [759,]  1.061503814 -0.267265946 -0.983341993 -3.644062e-01  1.3142064035
## [760,] -1.084444104  3.329631982  0.237571060 -8.282877e-01  1.6980571909
## [761,]  0.926482778 -1.240093311  0.042700341  1.193983e+00 -0.2870976806
## [762,] -1.674875045  1.564698200 -0.404536488 -2.486830e-01  0.2617922172
## [763,]  2.012865700  1.498685290 -0.214542283 -1.964149e-01 -0.8667989053
## [764,] -1.561067382  1.921897914 -0.866842787 -3.906710e-01 -2.5398720121
## [765,]  0.100340070 -0.613781009 -0.763855604 -1.347709e-01  0.4989652391
## [766,]  0.283290637  0.097001817 -0.077141667 -6.871133e-01 -0.5226686533
## [767,]  1.059633773  0.836517204  0.424753643 -2.043597e-01  0.9569693910
## [768,]  0.839344740 -1.151004764 -1.008520943  8.687219e-02 -0.0825969923
##                  PC6          PC7          PC8
##   [1,]  0.3569498928 -0.858262022  0.973669027
##   [2,] -0.4060647160 -0.756541009  0.353983856
##   [3,] -0.0399914575  1.152239401  1.067832066
##   [4,] -0.4122511681  0.029228254 -0.130562776
##   [5,]  1.0776386251 -0.549000452 -0.319143547
##   [6,] -0.4097269708  0.610266380 -0.038551139
##   [7,]  0.4308838429 -0.235591486 -0.075800545
##   [8,]  3.1623236733  0.834229106 -0.235098279
##   [9,] -1.0888274066 -1.357207514 -0.612851240
##  [10,] -3.2331150716 -0.190214370  0.856483255
##  [11,] -0.0287980922  0.654132499 -0.688095344
##  [12,]  1.0102865580  1.482510794  0.251265467
##  [13,] -0.5185188180  0.280844378 -0.125055201
##  [14,] -1.6809822220 -1.212701456 -3.074727031
##  [15,] -0.7386354093 -0.621549506  0.112038761
##  [16,]  2.3859253546  0.167314408 -0.384437923
##  [17,]  0.1319143424 -0.607416985 -0.519278300
##  [18,]  0.0098392375  0.913971973 -0.287964896
##  [19,]  2.1263872496 -1.233983381 -0.202301521
##  [20,] -0.0270916097 -0.546535255 -0.016262388
##  [21,] -0.4118684056  0.336220298 -0.191067558
##  [22,]  0.1317325821  0.083293771 -0.968056294
##  [23,]  0.5550938734  0.731664599  0.329596904
##  [24,] -0.0642522544  0.847134851  1.251723911
##  [25,] -0.0807999965  0.282990032  0.160577385
##  [26,]  0.2265283363  0.492600840  0.204599840
##  [27,]  0.8792228560  0.327215170 -0.366263930
##  [28,] -1.0131764429  0.239117447 -0.334572968
##  [29,] -0.7572224122  0.293322793  0.456091320
##  [30,] -0.3154760671  0.379872819 -0.550538587
##  [31,]  0.2821839133 -1.533160139 -0.213805766
##  [32,] -0.6612436989  0.320333224  0.353455443
##  [33,] -0.2670695422  0.414520551 -0.183144841
##  [34,] -1.4991161600  1.010664702 -0.068912366
##  [35,] -0.1663986471  0.168043768  0.954592341
##  [36,] -0.8235515453 -0.081814924  0.005216571
##  [37,]  0.5240576698  1.508174625  0.055340226
##  [38,]  0.2046548252 -0.167339781  0.600675325
##  [39,]  0.5887907527 -0.448799348  0.485428048
##  [40,] -0.2561638845 -1.401872835 -0.455503444
##  [41,]  0.5655282277  0.217921112  1.059440201
##  [42,]  0.5488053024  0.861238814 -0.505739109
##  [43,] -1.2151027100 -0.292932289  0.319815144
##  [44,] -0.2280264935  0.391066927 -0.738106996
##  [45,]  0.2634623748  0.368120375  0.382642066
##  [46,]  0.7787805128 -0.096407885  1.414608398
##  [47,]  0.3037710987 -0.037638446  0.085985222
##  [48,] -0.4357007637  0.079235295  0.213906605
##  [49,]  1.0819190956  0.326925883  0.382566901
##  [50,] -0.1382210601  0.480040290  1.133944989
##  [51,] -1.6517223740  0.377684100  0.040390725
##  [52,] -0.1674887853 -0.258878454  0.109919408
##  [53,] -0.4123151714  0.164269346  0.256166668
##  [54,] -0.7131011340 -0.441640169 -0.180476090
##  [55,] -0.0873643588  0.041582915 -0.245224779
##  [56,] -0.1865678559 -0.039204952 -0.141693614
##  [57,]  0.4272822081  0.094034205  0.248793831
##  [58,]  0.2180122670 -0.857743599  0.204030228
##  [59,] -0.0242624258 -0.497897789 -0.732289353
##  [60,]  0.7015054567 -0.397596812 -0.127119188
##  [61,] -0.4785730147 -0.251762938  0.717305361
##  [62,]  0.4694237698  0.652331964 -0.172928299
##  [63,] -0.3977560008  0.090002741 -1.137335383
##  [64,] -0.3937618051  0.011207112  0.919861150
##  [65,]  0.5384832884  0.197077513 -0.521389858
##  [66,] -0.1541903765 -0.004706674  0.497135361
##  [67,] -0.7504356573 -0.951881450  0.285608221
##  [68,]  0.0592904995 -0.957619803 -1.441297800
##  [69,] -1.0625669470 -0.083656745  0.157591573
##  [70,] -0.6593339092  0.431376474  0.736389011
##  [71,] -0.0986363809  0.052716730 -0.379459058
##  [72,] -0.1043648635  0.405684743  0.804045308
##  [73,]  0.9696034449  1.638286319 -0.623796054
##  [74,] -0.6061750193  1.008814166 -0.759049774
##  [75,] -0.2346826936 -0.115321778  0.226666429
##  [76,] -0.1571177092 -0.454295433 -0.902736621
##  [77,] -0.0567773576  0.312563788 -1.237500452
##  [78,]  0.6303958288  0.246940025  0.363922994
##  [79,]  3.2949444252 -0.630612845 -0.651047474
##  [80,] -0.3811422674 -0.001926663  0.717167936
##  [81,]  0.2174816959  0.181593676  0.612358389
##  [82,] -0.4585605033 -0.383613968  0.563485774
##  [83,] -0.5160824462  0.359079903 -0.133166875
##  [84,] -0.5030552810 -0.387050507  0.760925582
##  [85,]  0.5284406165  0.674219107 -0.894181588
##  [86,] -0.4049340672  0.046202348 -0.046531452
##  [87,]  1.0380846794  0.149290001  1.272583600
##  [88,]  0.5165389640 -0.032521897 -0.305726288
##  [89,]  1.0909191072  1.167409614  0.476595633
##  [90,] -0.3534872603 -0.143314151  0.442668342
##  [91,] -0.6773859032  0.185607808 -0.232312635
##  [92,] -0.5650994434  0.293878726 -0.639048223
##  [93,]  1.1670350215 -0.335431099 -0.403954399
##  [94,] -0.6098930575 -1.355292344 -0.282681542
##  [95,] -1.1047894777  0.655670483  0.739405079
##  [96,] -0.0443398658  0.047100877 -0.275803601
##  [97,]  0.3141738469 -0.201788466  0.369301813
##  [98,] -0.5488862835 -0.170016787 -0.153750838
##  [99,]  0.4831933543  0.524126970  0.434586605
## [100,]  0.4280143922 -0.489048578 -0.405167625
## [101,]  0.4564044932  0.123643130 -0.175137124
## [102,] -0.0059613708  0.319137343  0.445603498
## [103,] -1.6509866030  0.518773632  0.195266002
## [104,] -0.6775027113 -0.057908257 -0.159085498
## [105,]  0.6582488128  0.372273781 -1.145484196
## [106,] -0.2202698651  0.127302350  0.291531215
## [107,] -2.5421970924  0.518974607 -0.295704915
## [108,]  0.1244051240 -0.389596754  0.360638088
## [109,]  0.6142373016 -0.111053540  0.160555531
## [110,] -0.1578499881 -0.166600733 -0.203837009
## [111,]  0.0925541370  0.312573146  0.970669685
## [112,] -0.2799667521  0.353528601 -1.471138294
## [113,] -0.3420460775 -0.232109354  0.354535522
## [114,]  0.5033511617  0.630967307 -0.908554092
## [115,]  0.3984672299  0.055937334  0.581819832
## [116,] -0.6571591735 -1.093482425 -0.470399208
## [117,]  0.3164371062  0.183532426 -0.434186633
## [118,]  0.9311779941  0.737499878 -0.830801208
## [119,]  0.1353963374  0.412874548  0.508819462
## [120,] -0.8823272096  0.756352963  0.240943581
## [121,]  1.4407505227 -0.461631140  0.825774206
## [122,]  0.7334000881  0.403596557  1.050272065
## [123,] -0.1626742022  0.165422323  0.093063745
## [124,] -0.5615929896 -1.660053725 -0.570214950
## [125,] -0.1020757145  0.229188030 -0.466308291
## [126,]  3.0029402319 -0.756976922 -0.736382839
## [127,]  0.7580818185 -0.004655474 -0.383165336
## [128,]  0.3650859239 -0.298950816  0.480486232
## [129,] -0.7283450240 -0.719426652 -0.581365914
## [130,] -1.0876440326 -1.971838634 -1.063217886
## [131,] -0.2479212843  0.326145942  0.193326650
## [132,]  0.8519301151  1.231961731 -0.213937018
## [133,]  0.1893855889 -0.053508687  0.510918425
## [134,]  0.6992356521  0.104382952 -0.002403856
## [135,] -1.0470023650  0.152920150  0.062341008
## [136,]  0.3255499045 -0.282553913 -0.335404396
## [137,] -0.3398360094 -0.064744666  0.175358294
## [138,] -0.3006404337 -0.198228707 -0.078258504
## [139,] -0.4956072666  0.036701072 -0.270888828
## [140,] -0.1235714287  0.589835715 -1.162469632
## [141,] -1.0997836715 -1.193462742 -0.198498323
## [142,]  0.4804001485 -0.259840425  0.132677275
## [143,]  0.5749825422  0.010592291  0.221922639
## [144,]  0.6547801626  0.711843644 -0.484009889
## [145,]  0.0259566237  0.630310812  0.030415724
## [146,] -3.0531088693 -0.160211901  1.666926142
## [147,]  0.0938910049 -0.057843646  0.072991787
## [148,] -0.4381833773 -0.423568896  0.083334545
## [149,]  0.1509846748 -1.370216456 -0.585454997
## [150,] -0.3168932701  0.158575001  0.169356363
## [151,] -0.0381499791 -0.234250218  0.498978811
## [152,] -0.5795278388 -0.037991012 -0.067914390
## [153,] -0.3359694874  0.754916132  0.296383045
## [154,] -0.7084621859  0.490284957 -1.015724571
## [155,]  1.7618800351  0.605888939 -0.120149999
## [156,]  1.4478691608  0.169508109  0.923939727
## [157,] -0.2974439245  0.331772468 -0.090660185
## [158,] -0.5534346290  0.088888499 -0.036170680
## [159,] -0.4665972390  0.264885081 -0.119687443
## [160,]  1.3629131838  1.380270000  0.972984170
## [161,] -0.5501202801 -0.332820287  1.471183873
## [162,]  0.4064720852 -0.509408075 -0.018233697
## [163,]  0.0858743461 -0.226411967 -1.145727820
## [164,]  0.0509281059  0.156538289  0.433690245
## [165,] -0.7358988223 -0.049594508 -0.319704264
## [166,] -0.5354512711  0.111291934 -0.673499125
## [167,]  0.4549928315  0.328959123  1.078110251
## [168,] -0.0539859512  0.291239862 -0.271601750
## [169,]  0.2578275777  0.503802523 -0.414997114
## [170,] -1.0693856300  0.436751311 -0.244213770
## [171,] -0.2151355530  0.492636387 -0.538160140
## [172,]  0.3067691606  0.714297762  0.034893015
## [173,]  1.9235988374 -0.643714133  0.240491466
## [174,]  1.0750673359 -0.357206319 -0.090271910
## [175,] -0.1858202426 -0.571269827 -0.360808181
## [176,]  0.1997127525  0.442181665  1.398557655
## [177,] -0.1687039858  0.111929827 -0.905632499
## [178,]  1.4726366003 -0.087497129 -0.765832991
## [179,]  1.1798217685 -0.244423150 -0.806614978
## [180,]  0.3276429260  0.548892422 -0.575605146
## [181,] -0.8182586374  0.627729515 -0.344683770
## [182,]  0.1268412243  0.031637330 -0.254230865
## [183,] -0.8404589702 -0.054562371 -1.143317428
## [184,]  0.0177677298  0.594851116 -0.635720284
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## [765,]  0.5289939485 -0.152010309  0.467227243
## [766,] -0.5379193778  0.335344678  0.289250403
## [767,]  0.1532072800 -1.179539450 -0.533995863
## [768,] -0.1499986405 -0.245075649  0.515610204
plot(diabetes_pca$x,xlim=xlim,ylim=xlim)

diabetes_pca$rotation[,1]
##              Pregnancies                  Glucose            BloodPressure 
##               -0.1284321               -0.3930826               -0.3600026 
##            SkinThickness                  Insulin                      BMI 
##               -0.4398243               -0.4350262               -0.4519413 
## DiabetesPedigreeFunction                      Age 
##               -0.2706114               -0.1980271
diabetes_pca$rotation
##                                 PC1        PC2         PC3         PC4
## Pregnancies              -0.1284321  0.5937858 -0.01308692  0.08069115
## Glucose                  -0.3930826  0.1740291  0.46792282 -0.40432871
## BloodPressure            -0.3600026  0.1838921 -0.53549442  0.05598649
## SkinThickness            -0.4398243 -0.3319653 -0.23767380  0.03797608
## Insulin                  -0.4350262 -0.2507811  0.33670893 -0.34994376
## BMI                      -0.4519413 -0.1009598 -0.36186463  0.05364595
## DiabetesPedigreeFunction -0.2706114 -0.1220690  0.43318905  0.83368010
## Age                      -0.1980271  0.6205885  0.07524755  0.07120060
##                                 PC5          PC6         PC7          PC8
## Pregnancies              -0.4756057  0.193598168  0.58879003  0.117840984
## Glucose                   0.4663280  0.094161756  0.06015291  0.450355256
## BloodPressure             0.3279531 -0.634115895  0.19211793 -0.011295538
## SkinThickness            -0.4878621  0.009589438 -0.28221253  0.566283799
## Insulin                  -0.3469348 -0.270650609  0.13200992 -0.548621381
## BMI                       0.2532038  0.685372179  0.03536644 -0.341517637
## DiabetesPedigreeFunction  0.1198105 -0.085784088  0.08609107 -0.008258731
## Age                      -0.1092900 -0.033357170 -0.71208542 -0.211661979
plot(diabetes[,-1])

diabetes_pca$x
##                 PC1          PC2          PC3           PC4           PC5
##   [1,] -1.067806862  1.234090757  0.095867368  4.966665e-01 -0.1099132790
##   [2,]  1.120952811 -0.733373746 -0.712473852  2.848706e-01 -0.3892535190
##   [3,]  0.396218504  1.594836615  1.759531796 -7.034879e-02  0.9058835066
##   [4,]  1.115054156 -1.270413093 -0.663296973 -5.787458e-01 -0.3558278959
##   [5,] -2.357797682 -2.183396333  2.961176841  4.030472e+00  0.5922982735
##   [6,]  1.434816261  0.835032943 -0.220188660 -4.475530e-01  0.4436833028
##   [7,]  0.929569845 -1.107218102 -0.536228863 -1.445658e-01 -1.2508762973
##   [8,]  2.148406325  0.855344470  1.253824488 -6.378529e-01 -1.2338619618
##   [9,] -3.295777171 -0.241996927  1.869642773 -3.032619e+00 -1.1020611752
##  [10,]  1.838652045  3.204572290  0.660301809 -3.767756e-01 -0.5097192236
##  [11,]  0.532206965  0.647185445 -1.365946780 -2.870690e-01  1.1840699108
##  [12,] -0.447648966  1.927673986  0.417177197 -3.139047e-02  0.9789396898
##  [13,] -0.703519595  2.847065556  1.656130591  2.692405e+00  0.4207182669
##  [14,] -3.784640161 -0.524980983  3.616694044 -3.319283e+00 -1.4681925451
##  [15,] -1.007494805  1.275379750  1.424970355 -4.720614e-01 -0.0179935763
##  [16,]  2.414600089  0.342270472  1.766003072  3.427586e-01 -1.1007290421
##  [17,] -2.209870937 -1.753589136 -0.939557406 -1.260106e-01 -0.0157632755
##  [18,]  1.179817980  1.120506726 -0.467570771 -1.192156e-01  0.1684562364
##  [19,]  0.154019940 -1.391740693 -0.318005055 -5.744737e-01 -0.8047995321
##  [20,] -0.333030410 -0.877046036 -0.246559627  1.362972e-01  0.1084890755
##  [21,] -2.035423962 -1.213617776 -0.368010376  1.432944e-01 -0.2025569494
##  [22,]  0.292214484  2.227179832 -0.834633612  5.264897e-01  0.1382160610
##  [23,] -1.125944080  2.081456071  0.245693105 -5.728048e-01  2.0435188731
##  [24,] -0.059816990  0.765744394 -0.960672312 -1.159440e-01 -0.9049779357
##  [25,] -1.986235966  2.172673898 -0.767974598 -6.168958e-01 -0.9420038087
##  [26,] -0.446739972  1.444374350 -0.225433603 -6.264237e-01 -1.2640520804
##  [27,] -0.115431584  1.863873590 -0.306591210 -4.723917e-01  0.9900508460
##  [28,]  1.066311830 -1.162867506  0.357049964 -6.075180e-02 -0.1839095928
##  [29,] -0.610206498  3.296004903  0.376474491 -6.373178e-01 -1.3833910655
##  [30,]  0.354706149  1.274696465 -0.864670362  4.033645e-02  1.0110643778
##  [31,] -0.597672485  1.588193453 -0.571995163  8.262329e-01 -0.2566604700
##  [32,] -1.801059862 -0.973944510  1.088018517 -1.482012e-02 -0.0197674938
##  [33,]  1.772412677 -0.604472895 -0.113848222 -2.132337e-01 -0.3799579053
##  [34,]  1.728014295  1.023870122 -0.841476865 -1.516382e-01  0.0882989840
##  [35,] -0.379868758  1.793043724 -0.313540252  5.686280e-01 -1.0175377867
##  [36,] -0.325085475 -0.752537890  1.142872973  1.080096e+00 -1.2318541889
##  [37,]  0.199737520  2.116944330 -0.007353667  5.672587e-02  0.2283670467
##  [38,] -0.669707496  1.292634455 -0.673243978  1.233193e+00 -1.1692337748
##  [39,] -0.095994098 -1.197090540 -1.251479711  7.194905e-01 -0.3564861069
##  [40,] -2.573770162 -0.029216804  0.863457833  2.296661e+00 -1.0248751718
##  [41,] -0.514649628 -0.281067211  0.513311815 -1.277694e+00  0.8469551206
##  [42,] -0.395481909  1.375073091 -0.233956468  8.015108e-01  1.1616013764
##  [43,]  0.485829044  1.903943946 -0.847747850 -3.486334e-03 -0.4780882592
##  [44,] -3.594902619  1.980957249 -0.158479004 -2.636791e-02  0.4356412096
##  [45,]  0.668395536  1.796905836  0.780971651 -6.655706e-01  0.6176258662
##  [46,] -2.325769110 -1.682533513  1.803596970  3.031749e+00  1.9395979590
##  [47,]  1.038568883 -0.116574378  1.012403214 -3.957443e-02  1.4130768405
##  [48,]  1.115065590 -1.133172378 -0.816711245  1.039009e+00 -0.3920769394
##  [49,] -0.122567195  0.202000837 -1.099915201  2.755047e-01 -0.6664367758
##  [50,]  4.353716521  0.397434611  2.930891052 -4.234297e-01 -1.9816499829
##  [51,]  1.275941525 -0.740560677  0.127317492  5.467222e-02  0.3171530173
##  [52,]  1.550773073 -0.882885457  0.585072380  2.873372e-01 -0.0745320907
##  [53,]  1.215658193  0.082981417 -0.414902305  2.101654e-01 -0.7992794354
##  [54,] -2.937703952  1.757758478  0.728717553 -1.024282e+00 -0.6803789333
##  [55,] -2.505575096  0.004527801  1.199478847 -3.558466e-01 -1.4246199149
##  [56,]  2.548801700 -0.998964712 -0.195777351  9.074305e-04 -0.3142285201
##  [57,] -2.547666030  0.449805646  0.868579683 -1.862866e+00 -0.7070804343
##  [58,] -2.361423312 -1.987188256 -1.366489473  1.549474e+00 -0.0661110082
##  [59,] -1.272541325  0.159104577  1.488400464  3.238167e+00  2.6422765365
##  [60,] -0.473681297 -1.978609521 -1.098647588 -8.013898e-01 -0.2869696193
##  [61,]  4.853806684 -0.755909832  2.622470097 -2.982758e-01 -1.5546870700
##  [62,]  0.522305603  1.793253043 -0.114965718 -3.187043e-01  0.4100599103
##  [63,]  2.161297211  0.511217412 -0.371329169  1.431742e+00 -0.7452224647
##  [64,] -0.175456571 -1.193171771  1.089291428  2.580418e-02 -0.2350715240
##  [65,]  0.870625784  1.620623356 -0.215057987 -1.324419e-01  0.1369967515
##  [66,]  0.669185517  0.241896328 -1.011901720 -1.280172e-01 -0.5386692820
##  [67,] -0.440465299 -0.482602512 -0.547956737  1.374110e+00  0.7507896884
##  [68,] -0.609895141  1.249529356 -0.598269521  1.503267e+00  1.6290218194
##  [69,]  1.811883391 -0.649394331  0.043954305 -1.217999e-01 -0.0436711590
##  [70,] -0.351247459 -0.049013225 -0.378027931 -1.084346e+00  0.2115090619
##  [71,]  0.074772124 -0.913156621  0.266497607  1.147461e+00  0.1094790754
##  [72,] -0.431565023 -0.494649650  0.391920510 -5.845412e-01 -0.6726898424
##  [73,] -0.825041632  2.715798126 -0.788320099  8.187880e-01  0.3297255022
##  [74,] -0.931913053 -0.662257376 -0.308754529 -1.275699e+00 -0.0657155039
##  [75,]  0.805006910 -1.261995612 -1.310775428  4.846418e-01 -0.0815224682
##  [76,]  3.181695438 -1.552619002 -1.570629917  6.879683e-01 -1.7124146264
##  [77,]  1.206417524  1.352382043 -1.131404402  8.871006e-01 -0.3671508579
##  [78,]  0.039222595 -0.360521079 -1.317466436  3.801922e-01 -0.4281342595
##  [79,]  1.819437901 -1.129341266  1.322848193 -7.018698e-01  0.7417418711
##  [80,]  1.189413754 -0.597212881 -0.245795929 -2.132702e-01  0.0752365314
##  [81,]  2.115441989 -0.447993425  0.395891649 -7.370304e-01 -0.2741376432
##  [82,]  5.124894255 -0.683148996  2.218416539 -6.740275e-01 -1.7828770273
##  [83,] -0.070370032  0.411005065 -0.392939075  1.361189e+00 -0.9933038163
##  [84,]  1.367831789 -1.218514823 -0.546701273 -3.016284e-01 -0.0229190166
##  [85,] -0.924730974  1.335084711 -1.839533015 -3.491162e-01  2.0154776600
##  [86,] -0.393695970 -1.030277887 -0.044715566  5.245963e-01 -0.0576071826
##  [87,] -1.063161674  1.706784973 -1.585798861  1.010422e-01 -2.3111420916
##  [88,]  0.127602244 -0.934056465 -0.898600559 -1.174438e-01  0.0497315851
##  [89,] -1.254250558  2.319232619 -0.518445254 -6.942362e-01 -1.8224903363
##  [90,]  1.364510297 -0.686108737 -0.580223589 -5.224337e-01  0.2659174268
##  [91,]  2.860849848 -0.659003548  0.109405594 -9.833383e-02  0.0567777890
##  [92,] -0.434536840  0.098744831  0.059126316 -3.647119e-01  0.0558848655
##  [93,] -1.030132797  0.439057822 -2.119784433  3.711873e-01 -1.0613143128
##  [94,]  0.824778520  2.315939695  0.476393605 -3.443025e-01  0.5043564083
##  [95,]  0.088602534 -0.659673362  0.585336921  3.719037e-01  0.8959647754
##  [96,] -1.203699256  0.488161047  0.258550299 -1.158645e+00 -0.6419232193
##  [97,]  1.110503746 -0.888241332 -1.051569301 -3.580891e-01 -0.3197799402
##  [98,]  2.174075436 -1.302282173  0.156930478 -1.424174e-02 -0.9164136866
##  [99,]  0.870697294 -0.571714661 -0.141104731  4.363343e-02 -1.3290554535
## [100,] -2.520269744 -1.526750087 -1.614189430 -6.375237e-01 -0.0456079892
## [101,] -0.605897383 -0.022464417  1.277581527  1.534861e+00  2.4315584156
## [102,]  1.541380328 -0.232805053  0.591997095 -1.126837e+00  1.3639946292
## [103,]  1.384987740 -0.245772044 -0.513251869 -5.395637e-01  1.6595784355
## [104,]  1.384236521 -0.900613956 -0.789945487 -8.318970e-03 -0.0894787023
## [105,]  0.750269746 -0.554032599 -0.121879292  1.757990e+00  1.0035989926
## [106,] -0.090423704 -1.656362048  1.036296848  3.619241e-01 -0.0951822170
## [107,]  1.169450490  0.357779017 -1.689793504 -1.764191e-01  1.4571290044
## [108,] -0.285866499  0.059642834  0.606222583 -9.450216e-01 -0.4643583082
## [109,]  0.766913824 -0.958310839 -0.916807078  2.633443e-01 -0.6539940078
## [110,]  0.240858697 -1.139123252 -1.599568793 -1.599945e-01  0.6079179761
## [111,] -0.886119674 -0.632025411  0.156183577 -1.517106e+00  0.3809649500
## [112,] -2.551470358  0.454496729  1.893762347 -1.330257e+00 -1.6548224467
## [113,]  0.609145897 -1.223646844 -1.367182672 -2.544447e-01 -0.2611970280
## [114,]  1.635396963 -0.114332851 -0.638840409  5.045909e-01  0.1830415834
## [115,] -1.101769999  0.459824889  1.342495162 -4.075638e-01 -0.8275326021
## [116,] -0.349751995  2.432752175  0.108000806  2.774375e-01  1.3413494169
## [117,]  0.704722972  1.186172870 -0.412619267 -3.953237e-01  0.7626604365
## [118,]  1.635474439 -0.153289260  0.131491028  1.122463e+00 -0.0806746377
## [119,]  1.120789767 -0.600856224 -0.303853416  3.612053e-01 -0.3875445369
## [120,]  1.309804877 -0.290150984 -0.513581414 -3.853496e-01 -0.2269880738
## [121,] -2.852482401 -1.982510006 -0.694287597  2.479874e-01  0.9751800638
## [122,]  0.128750959 -0.371042075 -0.957627423 -1.258117e-01 -0.7792623352
## [123,] -0.051322575 -1.131145429 -0.641618241 -1.149784e-01 -0.0872855756
## [124,]  0.413265878  3.027319256  0.022830006 -4.259932e-01  0.4493878339
## [125,]  1.238673539 -0.539753986 -0.597535704 -3.198068e-01  1.4797345363
## [126,] -0.640693712 -2.225974145 -0.722947309  4.009471e-01 -0.6400894644
## [127,] -0.997162300 -0.765715274 -0.561625072 -1.468432e-01  0.0390155914
## [128,]  0.140354396 -1.454778455 -0.314213033 -6.536633e-01 -0.2835733434
## [129,] -0.738010497 -0.207054683 -0.591674788 -2.692880e-01  0.3555060930
## [130,]  0.462914182  1.449309490  0.166784985  1.168867e+00  1.1301657755
## [131,] -0.589838227  0.321003662  1.051022506 -1.232060e+00  0.5761545332
## [132,]  0.305784727  1.124897558  1.209538719  1.888115e+00  0.2111820534
## [133,] -1.473100199 -0.749149498  0.754812270 -1.351836e+00 -0.1228859063
## [134,] -0.229455833  0.762390417 -1.352648107  8.878057e-01 -0.9777496246
## [135,]  1.324287971 -0.554421694  0.378290315  6.657069e-01 -0.0173980908
## [136,]  0.224406143 -0.509101262 -0.096145117 -1.273686e+00 -0.0587392008
## [137,]  0.520940756 -1.508434995 -0.344071227  5.108460e-01  0.2964438246
## [138,]  0.818649350 -1.608519400 -0.014447406  2.687423e-01 -0.1711825117
## [139,]  0.639795330 -0.227730252  0.216396611  5.808364e-01  1.8113528333
## [140,] -0.998901308 -0.789327384 -0.394716087 -1.272970e+00 -1.2496276242
## [141,]  1.071380114  1.938105248  0.306636294 -3.463068e-01  0.6161519418
## [142,] -0.419093149  0.445157584 -1.510497907  1.303552e-01 -0.0813066535
## [143,]  0.745653455 -1.177960515 -0.135191604 -3.183594e-01 -0.2688699927
## [144,]  0.841540949  2.116588113 -0.277857098  4.778024e-02 -0.3817392550
## [145,] -1.022081681 -0.986328617  0.711526032 -1.678149e+00 -0.5579781128
## [146,]  2.460769206 -0.875194685  0.826444580  3.722259e-01 -0.3455963436
## [147,]  0.363795951  1.032761565 -2.213817739  3.511825e-01 -1.9202952211
## [148,] -0.883619488 -1.123771537  1.116288382  2.374565e+00 -0.3230398210
## [149,] -0.088258646  2.778736877 -0.002761760 -5.182200e-01  0.9046205983
## [150,]  1.606502333 -0.628110717 -1.012547279 -4.904386e-01 -0.0127760062
## [151,] -1.544333905 -1.786077187 -0.381990879 -7.545209e-01 -0.3369688734
## [152,]  1.570467614  0.894086607  0.520044536  1.262005e-01  0.3028206920
## [153,] -2.297422500  1.109500933  1.022592755  1.390922e+00 -0.1319545762
## [154,] -3.144103916 -2.262394073  0.808940128 -1.078302e+00 -0.3385385168
## [155,] -1.084046909  2.217625038 -0.312789033 -1.205254e+00  1.7103741669
## [156,] -2.168322840  0.554855447 -1.647676546 -1.651266e-01  0.3550635044
## [157,]  1.251713809 -1.134631373  0.760818842  4.179868e-01 -0.2861176852
## [158,]  0.544139309 -1.406851287  1.072300421  6.782954e-01 -0.1667112492
## [159,]  1.086425606 -0.832769057 -0.917184765 -2.358560e-01 -0.0882238288
## [160,] -2.790369002  2.559428876  0.410514713  7.480901e-01 -1.6394096556
## [161,] -0.714682333  0.440406305 -0.741093833 -4.791422e-01  0.3138084953
## [162,] -0.888478417  0.692284400 -1.154546820 -2.689332e-01 -1.3479812886
## [163,] -1.462782814 -1.711636327 -0.987263255 -1.286269e+00 -0.0629454417
## [164,]  1.077850916 -0.943310323 -0.536145961  1.023821e-01  0.0366246311
## [165,]  0.360297944 -0.002387987  0.077473779  7.002159e-01  1.9755013522
## [166,] -0.398162383  0.565346012  0.342102565  7.040794e-01 -0.6683348981
## [167,]  0.271399127 -0.470263902 -0.191221556 -7.268423e-01  0.6084204651
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## [724,] -1.040924271  0.543641895 -1.155203106 -3.825896e-01 -0.2318665593
## [725,]  0.559188908  0.968724865 -0.981955979 -1.214194e-01  1.3891895829
## [726,] -0.609491220  0.075195753 -1.517912902 -8.372119e-02 -0.2475408441
## [727,] -0.724792982 -1.334020247 -0.349709881 -2.258672e-01  0.1376199664
## [728,] -0.029383730 -0.950753491 -0.558894866 -2.110328e-01  1.2649558736
## [729,]  0.750793925  0.326884503  0.503777556 -9.773032e-01  1.9976947495
## [730,]  2.179171015 -0.490952758 -0.287304734 -4.483084e-01  0.3414928178
## [731,]  0.004674951  0.076536250 -0.173470614 -4.958128e-01  0.1535838152
## [732,]  0.974937640  1.020087108 -0.609160017 -2.750314e-01  0.4671460549
## [733,] -2.243237682 -0.998610048 -0.271735092 -2.767036e-01  1.2811192180
## [734,]  0.395662462 -1.388585892  0.309833961 -3.409127e-01 -0.6412649465
## [735,]  1.117140500  1.366901728  0.324907886  6.495121e-01  0.5658378897
## [736,]  0.513343281 -0.516031246 -0.967169431  9.316834e-02 -0.5739822708
## [737,] -0.126238488 -1.314292545 -0.167748558 -2.113109e-01  0.5665964236
## [738,]  0.455728228  0.992750600 -0.960877394  1.438360e+00 -1.2225916257
## [739,]  0.261047845 -1.329743170 -0.088812767 -1.358487e-01 -0.0915743411
## [740,]  0.685407287  0.475302698 -0.850457225  3.242402e-02  1.1722330025
## [741,] -2.278377382  1.395596953 -0.351736852  9.875549e-01 -1.2460934237
## [742,]  0.941627064 -0.850364140  0.385237221 -1.311161e-01 -0.6050201391
## [743,]  0.990532775 -1.152890760  0.045530686 -7.938976e-01 -0.0906299257
## [744,] -0.479590554  2.364821142  0.029166054  8.828244e-01  0.8493673319
## [745,] -2.940084100  1.428945064  0.401940618  1.584368e+00 -0.7117160986
## [746,] -0.883529466  1.843509349 -0.667428858  5.600112e-01 -1.8372022928
## [747,] -1.732518549 -0.883948037 -1.816848533 -2.417774e-01  1.3911791545
## [748,] -1.279256758 -1.526869053 -0.928343179  2.228727e+00  0.0421440959
## [749,] -1.538174530  0.040070555  1.007229825 -1.329165e+00  0.7847888768
## [750,]  0.810881974  2.228148887  0.938698111 -9.856666e-01  0.5342055596
## [751,]  0.313915576 -0.125621561  1.161435074  1.722043e+00  1.4176893023
## [752,] -0.686663174 -1.076485436 -1.156380038 -4.968229e-01  0.2041032783
## [753,]  1.214175365 -0.451475716 -0.376678469 -3.440475e-01 -0.2607429631
## [754,] -3.536839474 -2.030174014  0.387173126 -2.643623e+00  0.0669143554
## [755,] -0.943422396  1.557927855 -0.162869644 -2.251575e-02 -0.1698955785
## [756,] -1.752981178 -0.808037178 -0.012366183  1.374616e+00  0.4911692938
## [757,] -1.001203786  0.923553213 -0.961882735  5.476746e-02 -0.3245118684
## [758,]  0.546171231  0.975959235 -0.318807144 -3.121721e-01  1.3774254197
## [759,]  1.061503814 -0.267265946 -0.983341993 -3.644062e-01  1.3142064035
## [760,] -1.084444104  3.329631982  0.237571060 -8.282877e-01  1.6980571909
## [761,]  0.926482778 -1.240093311  0.042700341  1.193983e+00 -0.2870976806
## [762,] -1.674875045  1.564698200 -0.404536488 -2.486830e-01  0.2617922172
## [763,]  2.012865700  1.498685290 -0.214542283 -1.964149e-01 -0.8667989053
## [764,] -1.561067382  1.921897914 -0.866842787 -3.906710e-01 -2.5398720121
## [765,]  0.100340070 -0.613781009 -0.763855604 -1.347709e-01  0.4989652391
## [766,]  0.283290637  0.097001817 -0.077141667 -6.871133e-01 -0.5226686533
## [767,]  1.059633773  0.836517204  0.424753643 -2.043597e-01  0.9569693910
## [768,]  0.839344740 -1.151004764 -1.008520943  8.687219e-02 -0.0825969923
##                  PC6          PC7          PC8
##   [1,]  0.3569498928 -0.858262022  0.973669027
##   [2,] -0.4060647160 -0.756541009  0.353983856
##   [3,] -0.0399914575  1.152239401  1.067832066
##   [4,] -0.4122511681  0.029228254 -0.130562776
##   [5,]  1.0776386251 -0.549000452 -0.319143547
##   [6,] -0.4097269708  0.610266380 -0.038551139
##   [7,]  0.4308838429 -0.235591486 -0.075800545
##   [8,]  3.1623236733  0.834229106 -0.235098279
##   [9,] -1.0888274066 -1.357207514 -0.612851240
##  [10,] -3.2331150716 -0.190214370  0.856483255
##  [11,] -0.0287980922  0.654132499 -0.688095344
##  [12,]  1.0102865580  1.482510794  0.251265467
##  [13,] -0.5185188180  0.280844378 -0.125055201
##  [14,] -1.6809822220 -1.212701456 -3.074727031
##  [15,] -0.7386354093 -0.621549506  0.112038761
##  [16,]  2.3859253546  0.167314408 -0.384437923
##  [17,]  0.1319143424 -0.607416985 -0.519278300
##  [18,]  0.0098392375  0.913971973 -0.287964896
##  [19,]  2.1263872496 -1.233983381 -0.202301521
##  [20,] -0.0270916097 -0.546535255 -0.016262388
##  [21,] -0.4118684056  0.336220298 -0.191067558
##  [22,]  0.1317325821  0.083293771 -0.968056294
##  [23,]  0.5550938734  0.731664599  0.329596904
##  [24,] -0.0642522544  0.847134851  1.251723911
##  [25,] -0.0807999965  0.282990032  0.160577385
##  [26,]  0.2265283363  0.492600840  0.204599840
##  [27,]  0.8792228560  0.327215170 -0.366263930
##  [28,] -1.0131764429  0.239117447 -0.334572968
##  [29,] -0.7572224122  0.293322793  0.456091320
##  [30,] -0.3154760671  0.379872819 -0.550538587
##  [31,]  0.2821839133 -1.533160139 -0.213805766
##  [32,] -0.6612436989  0.320333224  0.353455443
##  [33,] -0.2670695422  0.414520551 -0.183144841
##  [34,] -1.4991161600  1.010664702 -0.068912366
##  [35,] -0.1663986471  0.168043768  0.954592341
##  [36,] -0.8235515453 -0.081814924  0.005216571
##  [37,]  0.5240576698  1.508174625  0.055340226
##  [38,]  0.2046548252 -0.167339781  0.600675325
##  [39,]  0.5887907527 -0.448799348  0.485428048
##  [40,] -0.2561638845 -1.401872835 -0.455503444
##  [41,]  0.5655282277  0.217921112  1.059440201
##  [42,]  0.5488053024  0.861238814 -0.505739109
##  [43,] -1.2151027100 -0.292932289  0.319815144
##  [44,] -0.2280264935  0.391066927 -0.738106996
##  [45,]  0.2634623748  0.368120375  0.382642066
##  [46,]  0.7787805128 -0.096407885  1.414608398
##  [47,]  0.3037710987 -0.037638446  0.085985222
##  [48,] -0.4357007637  0.079235295  0.213906605
##  [49,]  1.0819190956  0.326925883  0.382566901
##  [50,] -0.1382210601  0.480040290  1.133944989
##  [51,] -1.6517223740  0.377684100  0.040390725
##  [52,] -0.1674887853 -0.258878454  0.109919408
##  [53,] -0.4123151714  0.164269346  0.256166668
##  [54,] -0.7131011340 -0.441640169 -0.180476090
##  [55,] -0.0873643588  0.041582915 -0.245224779
##  [56,] -0.1865678559 -0.039204952 -0.141693614
##  [57,]  0.4272822081  0.094034205  0.248793831
##  [58,]  0.2180122670 -0.857743599  0.204030228
##  [59,] -0.0242624258 -0.497897789 -0.732289353
##  [60,]  0.7015054567 -0.397596812 -0.127119188
##  [61,] -0.4785730147 -0.251762938  0.717305361
##  [62,]  0.4694237698  0.652331964 -0.172928299
##  [63,] -0.3977560008  0.090002741 -1.137335383
##  [64,] -0.3937618051  0.011207112  0.919861150
##  [65,]  0.5384832884  0.197077513 -0.521389858
##  [66,] -0.1541903765 -0.004706674  0.497135361
##  [67,] -0.7504356573 -0.951881450  0.285608221
##  [68,]  0.0592904995 -0.957619803 -1.441297800
##  [69,] -1.0625669470 -0.083656745  0.157591573
##  [70,] -0.6593339092  0.431376474  0.736389011
##  [71,] -0.0986363809  0.052716730 -0.379459058
##  [72,] -0.1043648635  0.405684743  0.804045308
##  [73,]  0.9696034449  1.638286319 -0.623796054
##  [74,] -0.6061750193  1.008814166 -0.759049774
##  [75,] -0.2346826936 -0.115321778  0.226666429
##  [76,] -0.1571177092 -0.454295433 -0.902736621
##  [77,] -0.0567773576  0.312563788 -1.237500452
##  [78,]  0.6303958288  0.246940025  0.363922994
##  [79,]  3.2949444252 -0.630612845 -0.651047474
##  [80,] -0.3811422674 -0.001926663  0.717167936
##  [81,]  0.2174816959  0.181593676  0.612358389
##  [82,] -0.4585605033 -0.383613968  0.563485774
##  [83,] -0.5160824462  0.359079903 -0.133166875
##  [84,] -0.5030552810 -0.387050507  0.760925582
##  [85,]  0.5284406165  0.674219107 -0.894181588
##  [86,] -0.4049340672  0.046202348 -0.046531452
##  [87,]  1.0380846794  0.149290001  1.272583600
##  [88,]  0.5165389640 -0.032521897 -0.305726288
##  [89,]  1.0909191072  1.167409614  0.476595633
##  [90,] -0.3534872603 -0.143314151  0.442668342
##  [91,] -0.6773859032  0.185607808 -0.232312635
##  [92,] -0.5650994434  0.293878726 -0.639048223
##  [93,]  1.1670350215 -0.335431099 -0.403954399
##  [94,] -0.6098930575 -1.355292344 -0.282681542
##  [95,] -1.1047894777  0.655670483  0.739405079
##  [96,] -0.0443398658  0.047100877 -0.275803601
##  [97,]  0.3141738469 -0.201788466  0.369301813
##  [98,] -0.5488862835 -0.170016787 -0.153750838
##  [99,]  0.4831933543  0.524126970  0.434586605
## [100,]  0.4280143922 -0.489048578 -0.405167625
## [101,]  0.4564044932  0.123643130 -0.175137124
## [102,] -0.0059613708  0.319137343  0.445603498
## [103,] -1.6509866030  0.518773632  0.195266002
## [104,] -0.6775027113 -0.057908257 -0.159085498
## [105,]  0.6582488128  0.372273781 -1.145484196
## [106,] -0.2202698651  0.127302350  0.291531215
## [107,] -2.5421970924  0.518974607 -0.295704915
## [108,]  0.1244051240 -0.389596754  0.360638088
## [109,]  0.6142373016 -0.111053540  0.160555531
## [110,] -0.1578499881 -0.166600733 -0.203837009
## [111,]  0.0925541370  0.312573146  0.970669685
## [112,] -0.2799667521  0.353528601 -1.471138294
## [113,] -0.3420460775 -0.232109354  0.354535522
## [114,]  0.5033511617  0.630967307 -0.908554092
## [115,]  0.3984672299  0.055937334  0.581819832
## [116,] -0.6571591735 -1.093482425 -0.470399208
## [117,]  0.3164371062  0.183532426 -0.434186633
## [118,]  0.9311779941  0.737499878 -0.830801208
## [119,]  0.1353963374  0.412874548  0.508819462
## [120,] -0.8823272096  0.756352963  0.240943581
## [121,]  1.4407505227 -0.461631140  0.825774206
## [122,]  0.7334000881  0.403596557  1.050272065
## [123,] -0.1626742022  0.165422323  0.093063745
## [124,] -0.5615929896 -1.660053725 -0.570214950
## [125,] -0.1020757145  0.229188030 -0.466308291
## [126,]  3.0029402319 -0.756976922 -0.736382839
## [127,]  0.7580818185 -0.004655474 -0.383165336
## [128,]  0.3650859239 -0.298950816  0.480486232
## [129,] -0.7283450240 -0.719426652 -0.581365914
## [130,] -1.0876440326 -1.971838634 -1.063217886
## [131,] -0.2479212843  0.326145942  0.193326650
## [132,]  0.8519301151  1.231961731 -0.213937018
## [133,]  0.1893855889 -0.053508687  0.510918425
## [134,]  0.6992356521  0.104382952 -0.002403856
## [135,] -1.0470023650  0.152920150  0.062341008
## [136,]  0.3255499045 -0.282553913 -0.335404396
## [137,] -0.3398360094 -0.064744666  0.175358294
## [138,] -0.3006404337 -0.198228707 -0.078258504
## [139,] -0.4956072666  0.036701072 -0.270888828
## [140,] -0.1235714287  0.589835715 -1.162469632
## [141,] -1.0997836715 -1.193462742 -0.198498323
## [142,]  0.4804001485 -0.259840425  0.132677275
## [143,]  0.5749825422  0.010592291  0.221922639
## [144,]  0.6547801626  0.711843644 -0.484009889
## [145,]  0.0259566237  0.630310812  0.030415724
## [146,] -3.0531088693 -0.160211901  1.666926142
## [147,]  0.0938910049 -0.057843646  0.072991787
## [148,] -0.4381833773 -0.423568896  0.083334545
## [149,]  0.1509846748 -1.370216456 -0.585454997
## [150,] -0.3168932701  0.158575001  0.169356363
## [151,] -0.0381499791 -0.234250218  0.498978811
## [152,] -0.5795278388 -0.037991012 -0.067914390
## [153,] -0.3359694874  0.754916132  0.296383045
## [154,] -0.7084621859  0.490284957 -1.015724571
## [155,]  1.7618800351  0.605888939 -0.120149999
## [156,]  1.4478691608  0.169508109  0.923939727
## [157,] -0.2974439245  0.331772468 -0.090660185
## [158,] -0.5534346290  0.088888499 -0.036170680
## [159,] -0.4665972390  0.264885081 -0.119687443
## [160,]  1.3629131838  1.380270000  0.972984170
## [161,] -0.5501202801 -0.332820287  1.471183873
## [162,]  0.4064720852 -0.509408075 -0.018233697
## [163,]  0.0858743461 -0.226411967 -1.145727820
## [164,]  0.0509281059  0.156538289  0.433690245
## [165,] -0.7358988223 -0.049594508 -0.319704264
## [166,] -0.5354512711  0.111291934 -0.673499125
## [167,]  0.4549928315  0.328959123  1.078110251
## [168,] -0.0539859512  0.291239862 -0.271601750
## [169,]  0.2578275777  0.503802523 -0.414997114
## [170,] -1.0693856300  0.436751311 -0.244213770
## [171,] -0.2151355530  0.492636387 -0.538160140
## [172,]  0.3067691606  0.714297762  0.034893015
## [173,]  1.9235988374 -0.643714133  0.240491466
## [174,]  1.0750673359 -0.357206319 -0.090271910
## [175,] -0.1858202426 -0.571269827 -0.360808181
## [176,]  0.1997127525  0.442181665  1.398557655
## [177,] -0.1687039858  0.111929827 -0.905632499
## [178,]  1.4726366003 -0.087497129 -0.765832991
## [179,]  1.1798217685 -0.244423150 -0.806614978
## [180,]  0.3276429260  0.548892422 -0.575605146
## [181,] -0.8182586374  0.627729515 -0.344683770
## [182,]  0.1268412243  0.031637330 -0.254230865
## [183,] -0.8404589702 -0.054562371 -1.143317428
## [184,]  0.0177677298  0.594851116 -0.635720284
## [185,] -0.2591917663 -0.102794359  0.010931378
## [186,]  0.8716304299  0.073084772  1.469837001
## [187,] -0.7913292066 -0.561403194 -0.838257436
## [188,] -1.2441699388 -0.348714302  0.796781519
## [189,] -0.4843432082  0.645625268  0.679780609
## [190,] -0.3989384048  0.648419688  0.588791352
## [191,] -0.3662168129  0.648443248  0.121483867
## [192,]  0.3562636981  0.085039917  0.807556677
## [193,]  0.4470339681  0.666755395  0.321298153
## [194,]  4.6103378763  0.572165754 -0.863847438
## [195,]  0.1842973923 -0.215129952  0.188395731
## [196,]  0.0700631657  0.476618032  0.418338990
## [197,] -0.2316221085  0.267296897 -0.105400284
## [198,] -0.6012796193  0.485433529  0.235768353
## [199,]  0.2625933340  0.124491919  0.580295246
## [200,] -0.1681063791  0.314451737 -0.380301678
## [201,] -0.5720783595  0.251478110  0.220106642
## [202,]  0.4202576225  0.227351938 -0.466195146
## [203,] -0.5215847084 -0.653056658  0.263138230
## [204,] -1.0471602163 -0.051127970  0.256322972
## [205,]  0.1970844622 -1.035299712 -0.931217865
## [206,] -0.5347060114  0.313208286  1.008651109
## [207,]  0.1458608798 -0.363971282 -0.122922353
## [208,] -0.2546838963 -0.296242347 -0.326965299
## [209,]  0.1044878581 -0.001658707 -0.079434741
## [210,]  0.3872116693  0.021494536  1.524184986
## [211,] -0.0395967496 -0.172659234  0.149483999
## [212,]  0.5335558986 -0.565566148  1.492357555
## [213,] -0.1065371246 -1.049264253  1.095448647
## [214,]  0.8141388390 -0.119330245 -0.200135661
## [215,] -0.1302217596  0.706043417 -0.138790136
## [216,]  0.8596883715  1.191190907 -0.027769842
## [217,]  0.5043119452  0.330255751  0.351549857
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## [509,]  0.1894806241  0.233575938 -0.190587234
## [510,] -0.5590767849 -0.825650025 -0.470757047
## [511,]  0.2685466879  0.279476552  0.389178408
## [512,] -0.9993789536  0.131359751  0.034773938
## [513,] -0.2578326051 -0.499321811 -0.690581484
## [514,] -0.1759995054  0.496128393 -0.426335645
## [515,] -0.0808444940  0.143766502  0.037951898
## [516,]  0.0189616007  0.276774859  0.469412363
## [517,] -0.7244633056 -0.133227449  0.291368597
## [518,]  0.2954863223 -0.095183799 -0.749170022
## [519,]  0.9908962307  1.154736388 -0.823368764
## [520,] -2.3048850150 -0.526565446 -1.422779699
## [521,] -0.7625266245 -0.238045318  0.120851046
## [522,] -0.3380203039  0.203818707  0.293471231
## [523,] -0.1448094928  0.170994220  1.192639053
## [524,]  0.5806526267  0.543360703 -0.352868549
## [525,]  0.5775912215  0.496139779 -0.123053737
## [526,] -0.5082910029  0.339880496  0.450698684
## [527,] -1.1921767776  0.071336186  0.323968226
## [528,] -0.6600046483  0.457718391  0.004141345
## [529,] -0.4557229427 -0.090415749 -0.077715091
## [530,] -0.6254829347 -0.307927388 -0.264709660
## [531,] -0.0896857158  0.398684134  0.032771047
## [532,]  0.8149455935  0.317191564 -1.098793367
## [533,]  0.5950590411 -0.752990602  0.260236132
## [534,]  2.2830138838  0.039715240 -0.519943088
## [535,]  0.1363393505 -0.136633273 -0.170626160
## [536,]  2.6325508247  0.213978934  0.002287403
## [537,] -0.9501989419 -1.077205389 -0.838828500
## [538,] -0.9943396652 -2.632481747 -1.546599572
## [539,] -0.5382273914  0.031340744 -0.100760768
## [540,] -0.6760201665 -0.098764088  0.542734767
## [541,]  0.2782994628  0.037283442 -0.605782433
## [542,] -0.3454255459  0.341458401 -0.204565308
## [543,]  0.0329844861 -0.392351101  0.013270410
## [544,]  0.0300968673  0.545576170 -0.494787035
## [545,] -0.4973761222 -0.395771689 -0.170825757
## [546,] -0.3664102731  0.737283349  0.697321789
## [547,]  0.5477775789 -0.572318895 -0.281023004
## [548,]  0.0645984422  0.366923665 -0.191368255
## [549,] -0.3588492533 -1.745272267  1.025161195
## [550,] -1.3047274748  0.095385675  1.770636749
## [551,] -0.3104443104 -0.069928854  0.901797827
## [552,] -0.1923515082  0.164069676 -0.188014583
## [553,] -0.7395916295 -1.237790309 -0.784296377
## [554,] -0.0813463052 -0.134088783  0.010887755
## [555,]  0.2556498196 -0.281361991 -0.814548152
## [556,] -0.6434947577  0.162866901  0.173701372
## [557,]  0.5418140928 -0.811285907  0.434332244
## [558,] -0.2180497036 -0.533145024 -0.619457886
## [559,]  1.8934713706  0.213347704  0.305182308
## [560,]  0.1950760226  1.343523687 -0.552758699
## [561,]  0.2741778370 -0.615423504 -0.663134837
## [562,]  0.4748772229 -0.171065713  0.126276160
## [563,]  0.3196170915 -0.246993354 -0.159824034
## [564,] -0.0283824834  0.301428618  0.082856615
## [565,] -0.4711221555  0.065188537 -0.819585332
## [566,] -0.2624363641  0.329936467 -0.240845890
## [567,]  0.4526625050  0.007461542  0.156148425
## [568,]  0.2345075856 -0.771278795 -0.360804178
## [569,] -0.1280480924 -0.244226389  0.516228927
## [570,] -0.0423894160 -0.817250607 -0.289739201
## [571,]  0.0509209667 -0.346474996 -1.104005530
## [572,] -1.5142122158  0.879662206  0.331157084
## [573,]  0.2025449225  0.155951670  0.690752898
## [574,]  0.3664846404  0.274384044 -0.606747014
## [575,] -1.4779972783  0.552083056 -0.397301884
## [576,]  1.0867556556 -0.772435014  0.909037225
## [577,]  0.0019920595  0.116365670 -0.043587973
## [578,]  0.6292711011  0.899767162 -0.718460907
## [579,]  0.2174707342  1.110792617  0.209537446
## [580,]  0.4504836840 -3.352285270  3.534735366
## [581,]  0.3254158046 -0.189412196  1.346208194
## [582,]  0.0570536942  0.335473803  0.944317483
## [583,] -0.1411888388 -0.336715694  0.261455236
## [584,]  0.7575912350  0.453528188 -0.943327652
## [585,] -1.5927451329  0.240161863 -2.368814020
## [586,] -0.4136885757  0.021404381  0.171464629
## [587,]  0.9001344986  0.462826343 -0.147685821
## [588,] -0.2510706642  0.748331510 -0.108910359
## [589,] -0.7309787730 -0.856124531  0.192212902
## [590,]  1.1871660903 -0.759610148 -0.494507809
## [591,]  1.2296359611  0.415857845  0.308629911
## [592,]  0.1997391651 -0.187506707  0.417183700
## [593,] -0.0008458607 -0.405554223 -0.524798900
## [594,] -0.3399002509  0.251245230 -0.448995987
## [595,] -0.2328821534  0.177600181  0.166923211
## [596,] -0.7185902166  0.553776786  0.267140650
## [597,]  0.7621243809 -1.218009602 -2.045914399
## [598,]  0.9957819112 -0.295410622  0.083652239
## [599,]  0.5085076882 -0.444965846 -0.001874840
## [600,] -0.0110797250 -0.355642178 -0.013165070
## [601,] -1.0144480394  0.120832060  0.413234731
## [602,]  1.8564947540  0.122600952 -0.123535172
## [603,] -0.3769479499 -0.726885520  1.119421300
## [604,]  0.0351243520 -0.587865840  0.077573155
## [605,]  2.3779915837 -0.520795159  0.683849858
## [606,]  0.6930833304 -0.106668668  0.790724483
## [607,] -0.2412029015  0.489554068  0.324783364
## [608,] -0.9872016092 -0.299853096  0.530014985
## [609,] -0.0955780491 -0.223763306 -0.257871250
## [610,] -0.7836734703  0.161602550 -0.449931301
## [611,]  0.1968821871  0.263660562 -0.368228002
## [612,]  0.2440498848 -0.184577747  0.141268266
## [613,] -0.4137127644  0.424485313 -0.021883631
## [614,] -0.1285194362  0.777572275  0.588172925
## [615,]  0.4411057462  0.333655706 -0.105045663
## [616,] -0.4642232194  0.406234296 -0.203003200
## [617,] -0.7891936637  1.007720976 -0.135517814
## [618,] -0.8304956390  0.077570411 -0.059665746
## [619,] -0.5499403920  0.038046732  0.392764389
## [620,]  2.3598288071 -0.614053949 -0.313040770
## [621,] -0.2307866398 -0.171901936  0.002869429
## [622,] -1.2098891332  0.210725774  0.286610488
## [623,]  0.1423951393  0.596890802 -0.031307679
## [624,]  0.6591839064 -0.027257642 -0.726984195
## [625,]  0.2106568681  0.528853846 -0.312509933
## [626,] -0.0879652544 -0.087393259  0.453303129
## [627,] -0.5279326551  0.236174792  0.117704674
## [628,] -0.2139802684  0.431730128 -0.127733038
## [629,]  0.1836315225 -0.190296541 -0.531428024
## [630,] -0.2628863303  0.442748018  0.605106455
## [631,]  0.0345503150  0.760567767 -0.154141345
## [632,] -0.2754769586 -0.441768121  0.300104209
## [633,] -0.1029141998  0.401130207 -0.109268344
## [634,] -1.0757241664  0.392753313 -0.217950009
## [635,]  0.2320425822  1.251652024 -0.224889524
## [636,]  0.4758578495  1.575049310 -0.319775827
## [637,] -0.2055192447 -0.500333180 -0.668962762
## [638,] -0.4311401492  0.388850755 -0.274817274
## [639,]  0.5401177305  0.603589977 -0.250094732
## [640,] -1.2986229374 -0.198159151  0.104717029
## [641,] -1.1654870082 -0.024517253 -0.432580974
## [642,]  0.4461064815  0.847234728 -0.173572111
## [643,] -0.1692868167 -0.296607530 -0.098750258
## [644,]  1.9804637575 -0.291392438 -0.528719269
## [645,] -0.7909316144  0.187938465  0.005096491
## [646,] -0.2566589533  0.092509686 -1.014231529
## [647,] -1.0807594431 -0.256130364  0.493064099
## [648,]  0.9405105830 -0.232727222  0.818210175
## [649,] -0.4325738352  0.626134233  0.736343359
## [650,] -0.1428185360 -0.451815672  0.648484848
## [651,] -0.3012351548 -0.231325733  0.034998625
## [652,]  0.2396650095 -0.223942637 -0.152137343
## [653,]  0.1810737372  0.180891943  0.779545769
## [654,]  0.1319721225  0.148101048 -0.079770346
## [655,] -0.0526008656  0.019740358 -0.192736755
## [656,]  0.1444206989  0.453614929 -1.671935978
## [657,] -0.5881500234 -0.161666746  0.778330461
## [658,] -0.3890174555 -0.998370014 -0.171810466
## [659,]  0.0271930983  0.782697751 -0.650584196
## [660,] -0.5648676122  0.307935656 -0.198748129
## [661,] -0.1951917451  0.221027587  0.255966705
## [662,]  0.7829283922  0.198596936  1.880814359
## [663,] -0.6347576287  0.256183576  0.546440081
## [664,]  0.3592735619  0.321410028  0.796747284
## [665,]  0.7912599443 -0.603525315  0.843011523
## [666,] -0.3182086906 -0.272822190  0.439845920
## [667,] -0.1554837994 -2.131171094 -0.050389105
## [668,]  0.1624336624  0.344611929  0.765893569
## [669,]  0.3265653030 -0.463807347 -0.584369517
## [670,]  0.0119081938  0.110130581  0.724538913
## [671,]  0.1399027111 -0.452730171  0.114101736
## [672,] -0.2419009325  0.178612021  0.108351571
## [673,] -0.6227780482  0.397377185 -0.712170321
## [674,]  0.7041738552  0.990783603 -1.171223715
## [675,]  0.0885012089 -0.988909229 -1.417164103
## [676,]  0.4364452258  0.890154089  0.860778430
## [677,] -0.5975279401  0.114867143  0.277734364
## [678,]  0.5352703353 -0.083275879 -0.860940405
## [679,]  1.1482475858  0.382011632 -0.383889301
## [680,] -0.9230012676  0.426712890 -0.827137893
## [681,] -0.3908761006 -0.137132514  0.003002738
## [682,]  1.4500616865 -0.401691225  0.739639842
## [683,]  0.9772612800 -0.359357111 -0.301927222
## [684,] -0.1330346398  0.810765913 -0.194833068
## [685,] -3.0626108042 -1.634929784  0.634537848
## [686,] -0.4357406996  0.323547367 -0.262232095
## [687,] -0.3796861403  0.690425189  0.344000289
## [688,]  0.3743607588 -0.612494589  0.284812805
## [689,] -1.2488411829  0.282729865  0.401023898
## [690,]  0.4877438755 -1.406231205 -0.191967594
## [691,] -0.7282962532  1.100604142 -0.108909502
## [692,]  0.2606897666  1.725963633 -0.167282565
## [693,]  0.3758678313  0.260862320  0.137139798
## [694,]  0.6988339214 -0.466481064  0.563685357
## [695,] -0.3657911478  0.188913866 -0.320318832
## [696,] -1.4559828911  0.508120458 -1.484873967
## [697,] -0.2970716604  0.143707441  0.511524791
## [698,]  1.6343183397 -0.534674124 -0.241004062
## [699,] -0.5742799487  0.842309089 -0.633565473
## [700,]  1.1420670527  0.909236389 -0.807238178
## [701,] -0.2496971126  0.230309293 -0.434959284
## [702,] -0.4124502574 -0.753690001  0.783647650
## [703,] -0.3551525823 -1.471949252  0.754622900
## [704,]  2.9440419593 -1.205404556 -0.676504330
## [705,] -0.4997979816  0.377462706  0.009494570
## [706,]  0.6130763501  0.318509112  0.185284936
## [707,]  0.0579672366  0.648330722  1.272825693
## [708,]  0.3876398645  0.358437988 -1.058066348
## [709,]  0.4274850123  0.549495310  0.194581580
## [710,]  0.2965847827  0.163066641 -0.510257932
## [711,] -0.4948974365  0.866718237 -1.028828650
## [712,] -0.2890203905 -0.309395779  0.594524675
## [713,]  1.6018880947  0.400358349  0.778669126
## [714,] -0.7352271158  0.178926080 -0.502303003
## [715,] -0.2117995361  0.110059906 -0.508632535
## [716,]  0.3481294876  0.677754866 -0.096286709
## [717,] -0.3879491049  0.105741257  0.803442773
## [718,] -0.5039859216 -0.378876888  0.097089773
## [719,]  0.2273885508 -0.389271073  0.176432382
## [720,]  0.2460993110 -1.124546747 -0.182419179
## [721,] -0.6658170283 -0.039043383 -0.106032914
## [722,]  0.2579651432  0.044257105 -0.257763076
## [723,] -0.3773328024 -1.125266061  0.334827450
## [724,]  0.0981033165 -0.332256884 -0.268362688
## [725,] -0.7427103720 -0.758904096 -0.843987882
## [726,]  0.5819237324 -0.653343029  0.545118976
## [727,] -0.3253153617  0.070668573 -0.380393799
## [728,] -0.3816039875 -0.001909658  0.899508780
## [729,] -1.1113698241  0.840785836  0.937241223
## [730,]  0.4973816863  0.311536946 -0.518130041
## [731,] -0.5856828111 -0.187509479  0.330439015
## [732,] -0.3676351776  1.773143068  0.136956467
## [733,]  0.4152769588  0.380730288  0.685728640
## [734,] -0.1331157530  0.158042065 -0.109740013
## [735,] -1.0053741459 -1.234407149 -0.622269134
## [736,]  0.7849623075 -0.122426457  0.384229572
## [737,] -1.2255665583  0.168915467  0.383831994
## [738,]  0.1107981232  0.017559701 -0.337516255
## [739,]  0.3774717439  0.457416098 -0.853742374
## [740,]  0.4696969156 -0.755367665 -1.196014337
## [741,]  0.6696589906  0.379769780 -0.238417651
## [742,]  0.6200868256  0.007772446 -0.183916906
## [743,] -0.1274618551  0.055862914 -0.163027334
## [744,] -0.3277869665  0.814966806 -0.163086311
## [745,]  0.4201835181  1.497682576  0.565215171
## [746,] -0.3462272050  0.564553680  0.160932933
## [747,]  0.8492856207 -0.228424908  0.725463006
## [748,]  0.7102183115 -0.610265803 -0.442303602
## [749,]  0.2272668528 -0.066509145  0.141817840
## [750,]  0.0125501830 -0.470373379  0.348286932
## [751,] -0.0217252401  1.197876341  0.087481797
## [752,]  0.2487946032 -0.447960335  0.375881298
## [753,] -0.0973792939  0.012309439  0.709907890
## [754,] -0.5909358623  0.130672179 -0.867174630
## [755,]  0.2486654846 -0.135314001  1.164686607
## [756,] -0.5916915467 -0.643634903  0.223734556
## [757,] -0.2508676678 -0.034151548  1.329355935
## [758,]  0.2421313840 -1.539398295 -0.974515009
## [759,]  0.3123329597  0.206897939 -0.763842284
## [760,]  0.0145268856 -1.012507157 -0.050434007
## [761,] -0.0425110351  0.076695338  0.326885073
## [762,]  1.5081047064  0.210255898  0.926381513
## [763,] -0.1290104205  0.928422785 -0.190214022
## [764,] -0.0772713570 -1.140613537 -0.138500074
## [765,]  0.5289939485 -0.152010309  0.467227243
## [766,] -0.5379193778  0.335344678  0.289250403
## [767,]  0.1532072800 -1.179539450 -0.533995863
## [768,] -0.1499986405 -0.245075649  0.515610204
plot(diabetes_pca)

#get the original value of the data based on PCA
center <- diabetes_pca$center
scale <- diabetes_pca$scale
new_diabetes <- as.matrix(diabetes[,-1])
new_diabetes
##        Pregnancies Glucose BloodPressure SkinThickness Insulin  BMI
##   [1,]           6     148            72            35       0 33.6
##   [2,]           1      85            66            29       0 26.6
##   [3,]           8     183            64             0       0 23.3
##   [4,]           1      89            66            23      94 28.1
##   [5,]           0     137            40            35     168 43.1
##   [6,]           5     116            74             0       0 25.6
##   [7,]           3      78            50            32      88 31.0
##   [8,]          10     115             0             0       0 35.3
##   [9,]           2     197            70            45     543 30.5
##  [10,]           8     125            96             0       0  0.0
##  [11,]           4     110            92             0       0 37.6
##  [12,]          10     168            74             0       0 38.0
##  [13,]          10     139            80             0       0 27.1
##  [14,]           1     189            60            23     846 30.1
##  [15,]           5     166            72            19     175 25.8
##  [16,]           7     100             0             0       0 30.0
##  [17,]           0     118            84            47     230 45.8
##  [18,]           7     107            74             0       0 29.6
##  [19,]           1     103            30            38      83 43.3
##  [20,]           1     115            70            30      96 34.6
##  [21,]           3     126            88            41     235 39.3
##  [22,]           8      99            84             0       0 35.4
##  [23,]           7     196            90             0       0 39.8
##  [24,]           9     119            80            35       0 29.0
##  [25,]          11     143            94            33     146 36.6
##  [26,]          10     125            70            26     115 31.1
##  [27,]           7     147            76             0       0 39.4
##  [28,]           1      97            66            15     140 23.2
##  [29,]          13     145            82            19     110 22.2
##  [30,]           5     117            92             0       0 34.1
##  [31,]           5     109            75            26       0 36.0
##  [32,]           3     158            76            36     245 31.6
##  [33,]           3      88            58            11      54 24.8
##  [34,]           6      92            92             0       0 19.9
##  [35,]          10     122            78            31       0 27.6
##  [36,]           4     103            60            33     192 24.0
##  [37,]          11     138            76             0       0 33.2
##  [38,]           9     102            76            37       0 32.9
##  [39,]           2      90            68            42       0 38.2
##  [40,]           4     111            72            47     207 37.1
##  [41,]           3     180            64            25      70 34.0
##  [42,]           7     133            84             0       0 40.2
##  [43,]           7     106            92            18       0 22.7
##  [44,]           9     171           110            24     240 45.4
##  [45,]           7     159            64             0       0 27.4
##  [46,]           0     180            66            39       0 42.0
##  [47,]           1     146            56             0       0 29.7
##  [48,]           2      71            70            27       0 28.0
##  [49,]           7     103            66            32       0 39.1
##  [50,]           7     105             0             0       0  0.0
##  [51,]           1     103            80            11      82 19.4
##  [52,]           1     101            50            15      36 24.2
##  [53,]           5      88            66            21      23 24.4
##  [54,]           8     176            90            34     300 33.7
##  [55,]           7     150            66            42     342 34.7
##  [56,]           1      73            50            10       0 23.0
##  [57,]           7     187            68            39     304 37.7
##  [58,]           0     100            88            60     110 46.8
##  [59,]           0     146            82             0       0 40.5
##  [60,]           0     105            64            41     142 41.5
##  [61,]           2      84             0             0       0  0.0
##  [62,]           8     133            72             0       0 32.9
##  [63,]           5      44            62             0       0 25.0
##  [64,]           2     141            58            34     128 25.4
##  [65,]           7     114            66             0       0 32.8
##  [66,]           5      99            74            27       0 29.0
##  [67,]           0     109            88            30       0 32.5
##  [68,]           2     109            92             0       0 42.7
##  [69,]           1      95            66            13      38 19.6
##  [70,]           4     146            85            27     100 28.9
##  [71,]           2     100            66            20      90 32.9
##  [72,]           5     139            64            35     140 28.6
##  [73,]          13     126            90             0       0 43.4
##  [74,]           4     129            86            20     270 35.1
##  [75,]           1      79            75            30       0 32.0
##  [76,]           1       0            48            20       0 24.7
##  [77,]           7      62            78             0       0 32.6
##  [78,]           5      95            72            33       0 37.7
##  [79,]           0     131             0             0       0 43.2
##  [80,]           2     112            66            22       0 25.0
##  [81,]           3     113            44            13       0 22.4
##  [82,]           2      74             0             0       0  0.0
##  [83,]           7      83            78            26      71 29.3
##  [84,]           0     101            65            28       0 24.6
##  [85,]           5     137           108             0       0 48.8
##  [86,]           2     110            74            29     125 32.4
##  [87,]          13     106            72            54       0 36.6
##  [88,]           2     100            68            25      71 38.5
##  [89,]          15     136            70            32     110 37.1
##  [90,]           1     107            68            19       0 26.5
##  [91,]           1      80            55             0       0 19.1
##  [92,]           4     123            80            15     176 32.0
##  [93,]           7      81            78            40      48 46.7
##  [94,]           4     134            72             0       0 23.8
##  [95,]           2     142            82            18      64 24.7
##  [96,]           6     144            72            27     228 33.9
##  [97,]           2      92            62            28       0 31.6
##  [98,]           1      71            48            18      76 20.4
##  [99,]           6      93            50            30      64 28.7
## [100,]           1     122            90            51     220 49.7
## [101,]           1     163            72             0       0 39.0
## [102,]           1     151            60             0       0 26.1
## [103,]           0     125            96             0       0 22.5
## [104,]           1      81            72            18      40 26.6
## [105,]           2      85            65             0       0 39.6
## [106,]           1     126            56            29     152 28.7
## [107,]           1      96           122             0       0 22.4
## [108,]           4     144            58            28     140 29.5
## [109,]           3      83            58            31      18 34.3
## [110,]           0      95            85            25      36 37.4
## [111,]           3     171            72            33     135 33.3
## [112,]           8     155            62            26     495 34.0
## [113,]           1      89            76            34      37 31.2
## [114,]           4      76            62             0       0 34.0
## [115,]           7     160            54            32     175 30.5
## [116,]           4     146            92             0       0 31.2
## [117,]           5     124            74             0       0 34.0
## [118,]           5      78            48             0       0 33.7
## [119,]           4      97            60            23       0 28.2
## [120,]           4      99            76            15      51 23.2
## [121,]           0     162            76            56     100 53.2
## [122,]           6     111            64            39       0 34.2
## [123,]           2     107            74            30     100 33.6
## [124,]           5     132            80             0       0 26.8
## [125,]           0     113            76             0       0 33.3
## [126,]           1      88            30            42      99 55.0
## [127,]           3     120            70            30     135 42.9
## [128,]           1     118            58            36      94 33.3
## [129,]           1     117            88            24     145 34.5
## [130,]           0     105            84             0       0 27.9
## [131,]           4     173            70            14     168 29.7
## [132,]           9     122            56             0       0 33.3
## [133,]           3     170            64            37     225 34.5
## [134,]           8      84            74            31       0 38.3
## [135,]           2      96            68            13      49 21.1
## [136,]           2     125            60            20     140 33.8
## [137,]           0     100            70            26      50 30.8
## [138,]           0      93            60            25      92 28.7
## [139,]           0     129            80             0       0 31.2
## [140,]           5     105            72            29     325 36.9
## [141,]           3     128            78             0       0 21.1
## [142,]           5     106            82            30       0 39.5
## [143,]           2     108            52            26      63 32.5
## [144,]          10     108            66             0       0 32.4
## [145,]           4     154            62            31     284 32.8
## [146,]           0     102            75            23       0  0.0
## [147,]           9      57            80            37       0 32.8
## [148,]           2     106            64            35     119 30.5
## [149,]           5     147            78             0       0 33.7
## [150,]           2      90            70            17       0 27.3
## [151,]           1     136            74            50     204 37.4
## [152,]           4     114            65             0       0 21.9
## [153,]           9     156            86            28     155 34.3
## [154,]           1     153            82            42     485 40.6
## [155,]           8     188            78             0       0 47.9
## [156,]           7     152            88            44       0 50.0
## [157,]           2      99            52            15      94 24.6
## [158,]           1     109            56            21     135 25.2
## [159,]           2      88            74            19      53 29.0
## [160,]          17     163            72            41     114 40.9
## [161,]           4     151            90            38       0 29.7
## [162,]           7     102            74            40     105 37.2
## [163,]           0     114            80            34     285 44.2
## [164,]           2     100            64            23       0 29.7
## [165,]           0     131            88             0       0 31.6
## [166,]           6     104            74            18     156 29.9
## [167,]           3     148            66            25       0 32.5
## [168,]           4     120            68             0       0 29.6
## [169,]           4     110            66             0       0 31.9
## [170,]           3     111            90            12      78 28.4
## [171,]           6     102            82             0       0 30.8
## [172,]           6     134            70            23     130 35.4
## [173,]           2      87             0            23       0 28.9
## [174,]           1      79            60            42      48 43.5
## [175,]           2      75            64            24      55 29.7
## [176,]           8     179            72            42     130 32.7
## [177,]           6      85            78             0       0 31.2
## [178,]           0     129           110            46     130 67.1
## [179,]           5     143            78             0       0 45.0
## [180,]           5     130            82             0       0 39.1
## [181,]           6      87            80             0       0 23.2
## [182,]           0     119            64            18      92 34.9
## [183,]           1       0            74            20      23 27.7
## [184,]           5      73            60             0       0 26.8
## [185,]           4     141            74             0       0 27.6
## [186,]           7     194            68            28       0 35.9
## [187,]           8     181            68            36     495 30.1
## [188,]           1     128            98            41      58 32.0
## [189,]           8     109            76            39     114 27.9
## [190,]           5     139            80            35     160 31.6
## [191,]           3     111            62             0       0 22.6
## [192,]           9     123            70            44      94 33.1
## [193,]           7     159            66             0       0 30.4
## [194,]          11     135             0             0       0 52.3
## [195,]           8      85            55            20       0 24.4
## [196,]           5     158            84            41     210 39.4
## [197,]           1     105            58             0       0 24.3
## [198,]           3     107            62            13      48 22.9
## [199,]           4     109            64            44      99 34.8
## [200,]           4     148            60            27     318 30.9
## [201,]           0     113            80            16       0 31.0
## [202,]           1     138            82             0       0 40.1
## [203,]           0     108            68            20       0 27.3
## [204,]           2      99            70            16      44 20.4
## [205,]           6     103            72            32     190 37.7
## [206,]           5     111            72            28       0 23.9
## [207,]           8     196            76            29     280 37.5
## [208,]           5     162           104             0       0 37.7
## [209,]           1      96            64            27      87 33.2
## [210,]           7     184            84            33       0 35.5
## [211,]           2      81            60            22       0 27.7
## [212,]           0     147            85            54       0 42.8
## [213,]           7     179            95            31       0 34.2
## [214,]           0     140            65            26     130 42.6
## [215,]           9     112            82            32     175 34.2
## [216,]          12     151            70            40     271 41.8
## [217,]           5     109            62            41     129 35.8
## [218,]           6     125            68            30     120 30.0
## [219,]           5      85            74            22       0 29.0
## [220,]           5     112            66             0       0 37.8
## [221,]           0     177            60            29     478 34.6
## [222,]           2     158            90             0       0 31.6
## [223,]           7     119             0             0       0 25.2
## [224,]           7     142            60            33     190 28.8
## [225,]           1     100            66            15      56 23.6
## [226,]           1      87            78            27      32 34.6
## [227,]           0     101            76             0       0 35.7
## [228,]           3     162            52            38       0 37.2
## [229,]           4     197            70            39     744 36.7
## [230,]           0     117            80            31      53 45.2
## [231,]           4     142            86             0       0 44.0
## [232,]           6     134            80            37     370 46.2
## [233,]           1      79            80            25      37 25.4
## [234,]           4     122            68             0       0 35.0
## [235,]           3      74            68            28      45 29.7
## [236,]           4     171            72             0       0 43.6
## [237,]           7     181            84            21     192 35.9
## [238,]           0     179            90            27       0 44.1
## [239,]           9     164            84            21       0 30.8
## [240,]           0     104            76             0       0 18.4
## [241,]           1      91            64            24       0 29.2
## [242,]           4      91            70            32      88 33.1
## [243,]           3     139            54             0       0 25.6
## [244,]           6     119            50            22     176 27.1
## [245,]           2     146            76            35     194 38.2
## [246,]           9     184            85            15       0 30.0
## [247,]          10     122            68             0       0 31.2
## [248,]           0     165            90            33     680 52.3
## [249,]           9     124            70            33     402 35.4
## [250,]           1     111            86            19       0 30.1
## [251,]           9     106            52             0       0 31.2
## [252,]           2     129            84             0       0 28.0
## [253,]           2      90            80            14      55 24.4
## [254,]           0      86            68            32       0 35.8
## [255,]          12      92            62             7     258 27.6
## [256,]           1     113            64            35       0 33.6
## [257,]           3     111            56            39       0 30.1
## [258,]           2     114            68            22       0 28.7
## [259,]           1     193            50            16     375 25.9
## [260,]          11     155            76            28     150 33.3
## [261,]           3     191            68            15     130 30.9
## [262,]           3     141             0             0       0 30.0
## [263,]           4      95            70            32       0 32.1
## [264,]           3     142            80            15       0 32.4
## [265,]           4     123            62             0       0 32.0
## [266,]           5      96            74            18      67 33.6
## [267,]           0     138             0             0       0 36.3
## [268,]           2     128            64            42       0 40.0
## [269,]           0     102            52             0       0 25.1
## [270,]           2     146             0             0       0 27.5
## [271,]          10     101            86            37       0 45.6
## [272,]           2     108            62            32      56 25.2
## [273,]           3     122            78             0       0 23.0
## [274,]           1      71            78            50      45 33.2
## [275,]          13     106            70             0       0 34.2
## [276,]           2     100            70            52      57 40.5
## [277,]           7     106            60            24       0 26.5
## [278,]           0     104            64            23     116 27.8
## [279,]           5     114            74             0       0 24.9
## [280,]           2     108            62            10     278 25.3
## [281,]           0     146            70             0       0 37.9
## [282,]          10     129            76            28     122 35.9
## [283,]           7     133            88            15     155 32.4
## [284,]           7     161            86             0       0 30.4
## [285,]           2     108            80             0       0 27.0
## [286,]           7     136            74            26     135 26.0
## [287,]           5     155            84            44     545 38.7
## [288,]           1     119            86            39     220 45.6
## [289,]           4      96            56            17      49 20.8
## [290,]           5     108            72            43      75 36.1
## [291,]           0      78            88            29      40 36.9
## [292,]           0     107            62            30      74 36.6
## [293,]           2     128            78            37     182 43.3
## [294,]           1     128            48            45     194 40.5
## [295,]           0     161            50             0       0 21.9
## [296,]           6     151            62            31     120 35.5
## [297,]           2     146            70            38     360 28.0
## [298,]           0     126            84            29     215 30.7
## [299,]          14     100            78            25     184 36.6
## [300,]           8     112            72             0       0 23.6
## [301,]           0     167             0             0       0 32.3
## [302,]           2     144            58            33     135 31.6
## [303,]           5      77            82            41      42 35.8
## [304,]           5     115            98             0       0 52.9
## [305,]           3     150            76             0       0 21.0
## [306,]           2     120            76            37     105 39.7
## [307,]          10     161            68            23     132 25.5
## [308,]           0     137            68            14     148 24.8
## [309,]           0     128            68            19     180 30.5
## [310,]           2     124            68            28     205 32.9
## [311,]           6      80            66            30       0 26.2
## [312,]           0     106            70            37     148 39.4
## [313,]           2     155            74            17      96 26.6
## [314,]           3     113            50            10      85 29.5
## [315,]           7     109            80            31       0 35.9
## [316,]           2     112            68            22      94 34.1
## [317,]           3      99            80            11      64 19.3
## [318,]           3     182            74             0       0 30.5
## [319,]           3     115            66            39     140 38.1
## [320,]           6     194            78             0       0 23.5
## [321,]           4     129            60            12     231 27.5
## [322,]           3     112            74            30       0 31.6
## [323,]           0     124            70            20       0 27.4
## [324,]          13     152            90            33      29 26.8
## [325,]           2     112            75            32       0 35.7
## [326,]           1     157            72            21     168 25.6
## [327,]           1     122            64            32     156 35.1
## [328,]          10     179            70             0       0 35.1
## [329,]           2     102            86            36     120 45.5
## [330,]           6     105            70            32      68 30.8
## [331,]           8     118            72            19       0 23.1
## [332,]           2      87            58            16      52 32.7
## [333,]           1     180             0             0       0 43.3
## [334,]          12     106            80             0       0 23.6
## [335,]           1      95            60            18      58 23.9
## [336,]           0     165            76            43     255 47.9
## [337,]           0     117             0             0       0 33.8
## [338,]           5     115            76             0       0 31.2
## [339,]           9     152            78            34     171 34.2
## [340,]           7     178            84             0       0 39.9
## [341,]           1     130            70            13     105 25.9
## [342,]           1      95            74            21      73 25.9
## [343,]           1       0            68            35       0 32.0
## [344,]           5     122            86             0       0 34.7
## [345,]           8      95            72             0       0 36.8
## [346,]           8     126            88            36     108 38.5
## [347,]           1     139            46            19      83 28.7
## [348,]           3     116             0             0       0 23.5
## [349,]           3      99            62            19      74 21.8
## [350,]           5       0            80            32       0 41.0
## [351,]           4      92            80             0       0 42.2
## [352,]           4     137            84             0       0 31.2
## [353,]           3      61            82            28       0 34.4
## [354,]           1      90            62            12      43 27.2
## [355,]           3      90            78             0       0 42.7
## [356,]           9     165            88             0       0 30.4
## [357,]           1     125            50            40     167 33.3
## [358,]          13     129             0            30       0 39.9
## [359,]          12      88            74            40      54 35.3
## [360,]           1     196            76            36     249 36.5
## [361,]           5     189            64            33     325 31.2
## [362,]           5     158            70             0       0 29.8
## [363,]           5     103           108            37       0 39.2
## [364,]           4     146            78             0       0 38.5
## [365,]           4     147            74            25     293 34.9
## [366,]           5      99            54            28      83 34.0
## [367,]           6     124            72             0       0 27.6
## [368,]           0     101            64            17       0 21.0
## [369,]           3      81            86            16      66 27.5
## [370,]           1     133           102            28     140 32.8
## [371,]           3     173            82            48     465 38.4
## [372,]           0     118            64            23      89  0.0
## [373,]           0      84            64            22      66 35.8
## [374,]           2     105            58            40      94 34.9
## [375,]           2     122            52            43     158 36.2
## [376,]          12     140            82            43     325 39.2
## [377,]           0      98            82            15      84 25.2
## [378,]           1      87            60            37      75 37.2
## [379,]           4     156            75             0       0 48.3
## [380,]           0      93           100            39      72 43.4
## [381,]           1     107            72            30      82 30.8
## [382,]           0     105            68            22       0 20.0
## [383,]           1     109            60             8     182 25.4
## [384,]           1      90            62            18      59 25.1
## [385,]           1     125            70            24     110 24.3
## [386,]           1     119            54            13      50 22.3
## [387,]           5     116            74            29       0 32.3
## [388,]           8     105           100            36       0 43.3
## [389,]           5     144            82            26     285 32.0
## [390,]           3     100            68            23      81 31.6
## [391,]           1     100            66            29     196 32.0
## [392,]           5     166            76             0       0 45.7
## [393,]           1     131            64            14     415 23.7
## [394,]           4     116            72            12      87 22.1
## [395,]           4     158            78             0       0 32.9
## [396,]           2     127            58            24     275 27.7
## [397,]           3      96            56            34     115 24.7
## [398,]           0     131            66            40       0 34.3
## [399,]           3      82            70             0       0 21.1
## [400,]           3     193            70            31       0 34.9
## [401,]           4      95            64             0       0 32.0
## [402,]           6     137            61             0       0 24.2
## [403,]           5     136            84            41      88 35.0
## [404,]           9      72            78            25       0 31.6
## [405,]           5     168            64             0       0 32.9
## [406,]           2     123            48            32     165 42.1
## [407,]           4     115            72             0       0 28.9
## [408,]           0     101            62             0       0 21.9
## [409,]           8     197            74             0       0 25.9
## [410,]           1     172            68            49     579 42.4
## [411,]           6     102            90            39       0 35.7
## [412,]           1     112            72            30     176 34.4
## [413,]           1     143            84            23     310 42.4
## [414,]           1     143            74            22      61 26.2
## [415,]           0     138            60            35     167 34.6
## [416,]           3     173            84            33     474 35.7
## [417,]           1      97            68            21       0 27.2
## [418,]           4     144            82            32       0 38.5
## [419,]           1      83            68             0       0 18.2
## [420,]           3     129            64            29     115 26.4
## [421,]           1     119            88            41     170 45.3
## [422,]           2      94            68            18      76 26.0
## [423,]           0     102            64            46      78 40.6
## [424,]           2     115            64            22       0 30.8
## [425,]           8     151            78            32     210 42.9
## [426,]           4     184            78            39     277 37.0
## [427,]           0      94             0             0       0  0.0
## [428,]           1     181            64            30     180 34.1
## [429,]           0     135            94            46     145 40.6
## [430,]           1      95            82            25     180 35.0
## [431,]           2      99             0             0       0 22.2
## [432,]           3      89            74            16      85 30.4
## [433,]           1      80            74            11      60 30.0
## [434,]           2     139            75             0       0 25.6
## [435,]           1      90            68             8       0 24.5
## [436,]           0     141             0             0       0 42.4
## [437,]          12     140            85            33       0 37.4
## [438,]           5     147            75             0       0 29.9
## [439,]           1      97            70            15       0 18.2
## [440,]           6     107            88             0       0 36.8
## [441,]           0     189           104            25       0 34.3
## [442,]           2      83            66            23      50 32.2
## [443,]           4     117            64            27     120 33.2
## [444,]           8     108            70             0       0 30.5
## [445,]           4     117            62            12       0 29.7
## [446,]           0     180            78            63      14 59.4
## [447,]           1     100            72            12      70 25.3
## [448,]           0      95            80            45      92 36.5
## [449,]           0     104            64            37      64 33.6
## [450,]           0     120            74            18      63 30.5
## [451,]           1      82            64            13      95 21.2
## [452,]           2     134            70             0       0 28.9
## [453,]           0      91            68            32     210 39.9
## [454,]           2     119             0             0       0 19.6
## [455,]           2     100            54            28     105 37.8
## [456,]          14     175            62            30       0 33.6
## [457,]           1     135            54             0       0 26.7
## [458,]           5      86            68            28      71 30.2
## [459,]          10     148            84            48     237 37.6
## [460,]           9     134            74            33      60 25.9
## [461,]           9     120            72            22      56 20.8
## [462,]           1      71            62             0       0 21.8
## [463,]           8      74            70            40      49 35.3
## [464,]           5      88            78            30       0 27.6
## [465,]          10     115            98             0       0 24.0
## [466,]           0     124            56            13     105 21.8
## [467,]           0      74            52            10      36 27.8
## [468,]           0      97            64            36     100 36.8
## [469,]           8     120             0             0       0 30.0
## [470,]           6     154            78            41     140 46.1
## [471,]           1     144            82            40       0 41.3
## [472,]           0     137            70            38       0 33.2
## [473,]           0     119            66            27       0 38.8
## [474,]           7     136            90             0       0 29.9
## [475,]           4     114            64             0       0 28.9
## [476,]           0     137            84            27       0 27.3
## [477,]           2     105            80            45     191 33.7
## [478,]           7     114            76            17     110 23.8
## [479,]           8     126            74            38      75 25.9
## [480,]           4     132            86            31       0 28.0
## [481,]           3     158            70            30     328 35.5
## [482,]           0     123            88            37       0 35.2
## [483,]           4      85            58            22      49 27.8
## [484,]           0      84            82            31     125 38.2
## [485,]           0     145             0             0       0 44.2
## [486,]           0     135            68            42     250 42.3
## [487,]           1     139            62            41     480 40.7
## [488,]           0     173            78            32     265 46.5
## [489,]           4      99            72            17       0 25.6
## [490,]           8     194            80             0       0 26.1
## [491,]           2      83            65            28      66 36.8
## [492,]           2      89            90            30       0 33.5
## [493,]           4      99            68            38       0 32.8
## [494,]           4     125            70            18     122 28.9
## [495,]           3      80             0             0       0  0.0
## [496,]           6     166            74             0       0 26.6
## [497,]           5     110            68             0       0 26.0
## [498,]           2      81            72            15      76 30.1
## [499,]           7     195            70            33     145 25.1
## [500,]           6     154            74            32     193 29.3
## [501,]           2     117            90            19      71 25.2
## [502,]           3      84            72            32       0 37.2
## [503,]           6       0            68            41       0 39.0
## [504,]           7      94            64            25      79 33.3
## [505,]           3      96            78            39       0 37.3
## [506,]          10      75            82             0       0 33.3
## [507,]           0     180            90            26      90 36.5
## [508,]           1     130            60            23     170 28.6
## [509,]           2      84            50            23      76 30.4
## [510,]           8     120            78             0       0 25.0
## [511,]          12      84            72            31       0 29.7
## [512,]           0     139            62            17     210 22.1
## [513,]           9      91            68             0       0 24.2
## [514,]           2      91            62             0       0 27.3
## [515,]           3      99            54            19      86 25.6
## [516,]           3     163            70            18     105 31.6
## [517,]           9     145            88            34     165 30.3
## [518,]           7     125            86             0       0 37.6
## [519,]          13      76            60             0       0 32.8
## [520,]           6     129            90             7     326 19.6
## [521,]           2      68            70            32      66 25.0
## [522,]           3     124            80            33     130 33.2
## [523,]           6     114             0             0       0  0.0
## [524,]           9     130            70             0       0 34.2
## [525,]           3     125            58             0       0 31.6
## [526,]           3      87            60            18       0 21.8
## [527,]           1      97            64            19      82 18.2
## [528,]           3     116            74            15     105 26.3
## [529,]           0     117            66            31     188 30.8
## [530,]           0     111            65             0       0 24.6
## [531,]           2     122            60            18     106 29.8
## [532,]           0     107            76             0       0 45.3
## [533,]           1      86            66            52      65 41.3
## [534,]           6      91             0             0       0 29.8
## [535,]           1      77            56            30      56 33.3
## [536,]           4     132             0             0       0 32.9
## [537,]           0     105            90             0       0 29.6
## [538,]           0      57            60             0       0 21.7
## [539,]           0     127            80            37     210 36.3
## [540,]           3     129            92            49     155 36.4
## [541,]           8     100            74            40     215 39.4
## [542,]           3     128            72            25     190 32.4
## [543,]          10      90            85            32       0 34.9
## [544,]           4      84            90            23      56 39.5
## [545,]           1      88            78            29      76 32.0
## [546,]           8     186            90            35     225 34.5
## [547,]           5     187            76            27     207 43.6
## [548,]           4     131            68            21     166 33.1
## [549,]           1     164            82            43      67 32.8
## [550,]           4     189           110            31       0 28.5
## [551,]           1     116            70            28       0 27.4
## [552,]           3      84            68            30     106 31.9
## [553,]           6     114            88             0       0 27.8
## [554,]           1      88            62            24      44 29.9
## [555,]           1      84            64            23     115 36.9
## [556,]           7     124            70            33     215 25.5
## [557,]           1      97            70            40       0 38.1
## [558,]           8     110            76             0       0 27.8
## [559,]          11     103            68            40       0 46.2
## [560,]          11      85            74             0       0 30.1
## [561,]           6     125            76             0       0 33.8
## [562,]           0     198            66            32     274 41.3
## [563,]           1      87            68            34      77 37.6
## [564,]           6      99            60            19      54 26.9
## [565,]           0      91            80             0       0 32.4
## [566,]           2      95            54            14      88 26.1
## [567,]           1      99            72            30      18 38.6
## [568,]           6      92            62            32     126 32.0
## [569,]           4     154            72            29     126 31.3
## [570,]           0     121            66            30     165 34.3
## [571,]           3      78            70             0       0 32.5
## [572,]           2     130            96             0       0 22.6
## [573,]           3     111            58            31      44 29.5
## [574,]           2      98            60            17     120 34.7
## [575,]           1     143            86            30     330 30.1
## [576,]           1     119            44            47      63 35.5
## [577,]           6     108            44            20     130 24.0
## [578,]           2     118            80             0       0 42.9
## [579,]          10     133            68             0       0 27.0
## [580,]           2     197            70            99       0 34.7
## [581,]           0     151            90            46       0 42.1
## [582,]           6     109            60            27       0 25.0
## [583,]          12     121            78            17       0 26.5
## [584,]           8     100            76             0       0 38.7
## [585,]           8     124            76            24     600 28.7
## [586,]           1      93            56            11       0 22.5
## [587,]           8     143            66             0       0 34.9
## [588,]           6     103            66             0       0 24.3
## [589,]           3     176            86            27     156 33.3
## [590,]           0      73             0             0       0 21.1
## [591,]          11     111            84            40       0 46.8
## [592,]           2     112            78            50     140 39.4
## [593,]           3     132            80             0       0 34.4
## [594,]           2      82            52            22     115 28.5
## [595,]           6     123            72            45     230 33.6
## [596,]           0     188            82            14     185 32.0
## [597,]           0      67            76             0       0 45.3
## [598,]           1      89            24            19      25 27.8
## [599,]           1     173            74             0       0 36.8
## [600,]           1     109            38            18     120 23.1
## [601,]           1     108            88            19       0 27.1
## [602,]           6      96             0             0       0 23.7
## [603,]           1     124            74            36       0 27.8
## [604,]           7     150            78            29     126 35.2
## [605,]           4     183             0             0       0 28.4
## [606,]           1     124            60            32       0 35.8
## [607,]           1     181            78            42     293 40.0
## [608,]           1      92            62            25      41 19.5
## [609,]           0     152            82            39     272 41.5
## [610,]           1     111            62            13     182 24.0
## [611,]           3     106            54            21     158 30.9
## [612,]           3     174            58            22     194 32.9
## [613,]           7     168            88            42     321 38.2
## [614,]           6     105            80            28       0 32.5
## [615,]          11     138            74            26     144 36.1
## [616,]           3     106            72             0       0 25.8
## [617,]           6     117            96             0       0 28.7
## [618,]           2      68            62            13      15 20.1
## [619,]           9     112            82            24       0 28.2
## [620,]           0     119             0             0       0 32.4
## [621,]           2     112            86            42     160 38.4
## [622,]           2      92            76            20       0 24.2
## [623,]           6     183            94             0       0 40.8
## [624,]           0      94            70            27     115 43.5
## [625,]           2     108            64             0       0 30.8
## [626,]           4      90            88            47      54 37.7
## [627,]           0     125            68             0       0 24.7
## [628,]           0     132            78             0       0 32.4
## [629,]           5     128            80             0       0 34.6
## [630,]           4      94            65            22       0 24.7
## [631,]           7     114            64             0       0 27.4
## [632,]           0     102            78            40      90 34.5
## [633,]           2     111            60             0       0 26.2
## [634,]           1     128            82            17     183 27.5
## [635,]          10      92            62             0       0 25.9
## [636,]          13     104            72             0       0 31.2
## [637,]           5     104            74             0       0 28.8
## [638,]           2      94            76            18      66 31.6
## [639,]           7      97            76            32      91 40.9
## [640,]           1     100            74            12      46 19.5
## [641,]           0     102            86            17     105 29.3
## [642,]           4     128            70             0       0 34.3
## [643,]           6     147            80             0       0 29.5
## [644,]           4      90             0             0       0 28.0
## [645,]           3     103            72            30     152 27.6
## [646,]           2     157            74            35     440 39.4
## [647,]           1     167            74            17     144 23.4
## [648,]           0     179            50            36     159 37.8
## [649,]          11     136            84            35     130 28.3
## [650,]           0     107            60            25       0 26.4
## [651,]           1      91            54            25     100 25.2
## [652,]           1     117            60            23     106 33.8
## [653,]           5     123            74            40      77 34.1
## [654,]           2     120            54             0       0 26.8
## [655,]           1     106            70            28     135 34.2
## [656,]           2     155            52            27     540 38.7
## [657,]           2     101            58            35      90 21.8
## [658,]           1     120            80            48     200 38.9
## [659,]          11     127           106             0       0 39.0
## [660,]           3      80            82            31      70 34.2
## [661,]          10     162            84             0       0 27.7
## [662,]           1     199            76            43       0 42.9
## [663,]           8     167           106            46     231 37.6
## [664,]           9     145            80            46     130 37.9
## [665,]           6     115            60            39       0 33.7
## [666,]           1     112            80            45     132 34.8
## [667,]           4     145            82            18       0 32.5
## [668,]          10     111            70            27       0 27.5
## [669,]           6      98            58            33     190 34.0
## [670,]           9     154            78            30     100 30.9
## [671,]           6     165            68            26     168 33.6
## [672,]           1      99            58            10       0 25.4
## [673,]          10      68           106            23      49 35.5
## [674,]           3     123           100            35     240 57.3
## [675,]           8      91            82             0       0 35.6
## [676,]           6     195            70             0       0 30.9
## [677,]           9     156            86             0       0 24.8
## [678,]           0      93            60             0       0 35.3
## [679,]           3     121            52             0       0 36.0
## [680,]           2     101            58            17     265 24.2
## [681,]           2      56            56            28      45 24.2
## [682,]           0     162            76            36       0 49.6
## [683,]           0      95            64            39     105 44.6
## [684,]           4     125            80             0       0 32.3
## [685,]           5     136            82             0       0  0.0
## [686,]           2     129            74            26     205 33.2
## [687,]           3     130            64             0       0 23.1
## [688,]           1     107            50            19       0 28.3
## [689,]           1     140            74            26     180 24.1
## [690,]           1     144            82            46     180 46.1
## [691,]           8     107            80             0       0 24.6
## [692,]          13     158           114             0       0 42.3
## [693,]           2     121            70            32      95 39.1
## [694,]           7     129            68            49     125 38.5
## [695,]           2      90            60             0       0 23.5
## [696,]           7     142            90            24     480 30.4
## [697,]           3     169            74            19     125 29.9
## [698,]           0      99             0             0       0 25.0
## [699,]           4     127            88            11     155 34.5
## [700,]           4     118            70             0       0 44.5
## [701,]           2     122            76            27     200 35.9
## [702,]           6     125            78            31       0 27.6
## [703,]           1     168            88            29       0 35.0
## [704,]           2     129             0             0       0 38.5
## [705,]           4     110            76            20     100 28.4
## [706,]           6      80            80            36       0 39.8
## [707,]          10     115             0             0       0  0.0
## [708,]           2     127            46            21     335 34.4
## [709,]           9     164            78             0       0 32.8
## [710,]           2      93            64            32     160 38.0
## [711,]           3     158            64            13     387 31.2
## [712,]           5     126            78            27      22 29.6
## [713,]          10     129            62            36       0 41.2
## [714,]           0     134            58            20     291 26.4
## [715,]           3     102            74             0       0 29.5
## [716,]           7     187            50            33     392 33.9
## [717,]           3     173            78            39     185 33.8
## [718,]          10      94            72            18       0 23.1
## [719,]           1     108            60            46     178 35.5
## [720,]           5      97            76            27       0 35.6
## [721,]           4      83            86            19       0 29.3
## [722,]           1     114            66            36     200 38.1
## [723,]           1     149            68            29     127 29.3
## [724,]           5     117            86            30     105 39.1
## [725,]           1     111            94             0       0 32.8
## [726,]           4     112            78            40       0 39.4
## [727,]           1     116            78            29     180 36.1
## [728,]           0     141            84            26       0 32.4
## [729,]           2     175            88             0       0 22.9
## [730,]           2      92            52             0       0 30.1
## [731,]           3     130            78            23      79 28.4
## [732,]           8     120            86             0       0 28.4
## [733,]           2     174            88            37     120 44.5
## [734,]           2     106            56            27     165 29.0
## [735,]           2     105            75             0       0 23.3
## [736,]           4      95            60            32       0 35.4
## [737,]           0     126            86            27     120 27.4
## [738,]           8      65            72            23       0 32.0
## [739,]           2      99            60            17     160 36.6
## [740,]           1     102            74             0       0 39.5
## [741,]          11     120            80            37     150 42.3
## [742,]           3     102            44            20      94 30.8
## [743,]           1     109            58            18     116 28.5
## [744,]           9     140            94             0       0 32.7
## [745,]          13     153            88            37     140 40.6
## [746,]          12     100            84            33     105 30.0
## [747,]           1     147            94            41       0 49.3
## [748,]           1      81            74            41      57 46.3
## [749,]           3     187            70            22     200 36.4
## [750,]           6     162            62             0       0 24.3
## [751,]           4     136            70             0       0 31.2
## [752,]           1     121            78            39      74 39.0
## [753,]           3     108            62            24       0 26.0
## [754,]           0     181            88            44     510 43.3
## [755,]           8     154            78            32       0 32.4
## [756,]           1     128            88            39     110 36.5
## [757,]           7     137            90            41       0 32.0
## [758,]           0     123            72             0       0 36.3
## [759,]           1     106            76             0       0 37.5
## [760,]           6     190            92             0       0 35.5
## [761,]           2      88            58            26      16 28.4
## [762,]           9     170            74            31       0 44.0
## [763,]           9      89            62             0       0 22.5
## [764,]          10     101            76            48     180 32.9
## [765,]           2     122            70            27       0 36.8
## [766,]           5     121            72            23     112 26.2
## [767,]           1     126            60             0       0 30.1
## [768,]           1      93            70            31       0 30.4
##        DiabetesPedigreeFunction Age
##   [1,]                    0.627  50
##   [2,]                    0.351  31
##   [3,]                    0.672  32
##   [4,]                    0.167  21
##   [5,]                    2.288  33
##   [6,]                    0.201  30
##   [7,]                    0.248  26
##   [8,]                    0.134  29
##   [9,]                    0.158  53
##  [10,]                    0.232  54
##  [11,]                    0.191  30
##  [12,]                    0.537  34
##  [13,]                    1.441  57
##  [14,]                    0.398  59
##  [15,]                    0.587  51
##  [16,]                    0.484  32
##  [17,]                    0.551  31
##  [18,]                    0.254  31
##  [19,]                    0.183  33
##  [20,]                    0.529  32
##  [21,]                    0.704  27
##  [22,]                    0.388  50
##  [23,]                    0.451  41
##  [24,]                    0.263  29
##  [25,]                    0.254  51
##  [26,]                    0.205  41
##  [27,]                    0.257  43
##  [28,]                    0.487  22
##  [29,]                    0.245  57
##  [30,]                    0.337  38
##  [31,]                    0.546  60
##  [32,]                    0.851  28
##  [33,]                    0.267  22
##  [34,]                    0.188  28
##  [35,]                    0.512  45
##  [36,]                    0.966  33
##  [37,]                    0.420  35
##  [38,]                    0.665  46
##  [39,]                    0.503  27
##  [40,]                    1.390  56
##  [41,]                    0.271  26
##  [42,]                    0.696  37
##  [43,]                    0.235  48
##  [44,]                    0.721  54
##  [45,]                    0.294  40
##  [46,]                    1.893  25
##  [47,]                    0.564  29
##  [48,]                    0.586  22
##  [49,]                    0.344  31
##  [50,]                    0.305  24
##  [51,]                    0.491  22
##  [52,]                    0.526  26
##  [53,]                    0.342  30
##  [54,]                    0.467  58
##  [55,]                    0.718  42
##  [56,]                    0.248  21
##  [57,]                    0.254  41
##  [58,]                    0.962  31
##  [59,]                    1.781  44
##  [60,]                    0.173  22
##  [61,]                    0.304  21
##  [62,]                    0.270  39
##  [63,]                    0.587  36
##  [64,]                    0.699  24
##  [65,]                    0.258  42
##  [66,]                    0.203  32
##  [67,]                    0.855  38
##  [68,]                    0.845  54
##  [69,]                    0.334  25
##  [70,]                    0.189  27
##  [71,]                    0.867  28
##  [72,]                    0.411  26
##  [73,]                    0.583  42
##  [74,]                    0.231  23
##  [75,]                    0.396  22
##  [76,]                    0.140  22
##  [77,]                    0.391  41
##  [78,]                    0.370  27
##  [79,]                    0.270  26
##  [80,]                    0.307  24
##  [81,]                    0.140  22
##  [82,]                    0.102  22
##  [83,]                    0.767  36
##  [84,]                    0.237  22
##  [85,]                    0.227  37
##  [86,]                    0.698  27
##  [87,]                    0.178  45
##  [88,]                    0.324  26
##  [89,]                    0.153  43
##  [90,]                    0.165  24
##  [91,]                    0.258  21
##  [92,]                    0.443  34
##  [93,]                    0.261  42
##  [94,]                    0.277  60
##  [95,]                    0.761  21
##  [96,]                    0.255  40
##  [97,]                    0.130  24
##  [98,]                    0.323  22
##  [99,]                    0.356  23
## [100,]                    0.325  31
## [101,]                    1.222  33
## [102,]                    0.179  22
## [103,]                    0.262  21
## [104,]                    0.283  24
## [105,]                    0.930  27
## [106,]                    0.801  21
## [107,]                    0.207  27
## [108,]                    0.287  37
## [109,]                    0.336  25
## [110,]                    0.247  24
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## [733,]                    0.646  24
## [734,]                    0.426  22
## [735,]                    0.560  53
## [736,]                    0.284  28
## [737,]                    0.515  21
## [738,]                    0.600  42
## [739,]                    0.453  21
## [740,]                    0.293  42
## [741,]                    0.785  48
## [742,]                    0.400  26
## [743,]                    0.219  22
## [744,]                    0.734  45
## [745,]                    1.174  39
## [746,]                    0.488  46
## [747,]                    0.358  27
## [748,]                    1.096  32
## [749,]                    0.408  36
## [750,]                    0.178  50
## [751,]                    1.182  22
## [752,]                    0.261  28
## [753,]                    0.223  25
## [754,]                    0.222  26
## [755,]                    0.443  45
## [756,]                    1.057  37
## [757,]                    0.391  39
## [758,]                    0.258  52
## [759,]                    0.197  26
## [760,]                    0.278  66
## [761,]                    0.766  22
## [762,]                    0.403  43
## [763,]                    0.142  33
## [764,]                    0.171  63
## [765,]                    0.340  27
## [766,]                    0.245  30
## [767,]                    0.349  47
## [768,]                    0.315  23
drop(scale(new_diabetes,center=center, scale=scale)%*%diabetes_pca$rotation[,1])
##   [1] -1.067806862  1.120952811  0.396218504  1.115054156 -2.357797682
##   [6]  1.434816261  0.929569845  2.148406325 -3.295777171  1.838652045
##  [11]  0.532206965 -0.447648966 -0.703519595 -3.784640161 -1.007494805
##  [16]  2.414600089 -2.209870937  1.179817980  0.154019940 -0.333030410
##  [21] -2.035423962  0.292214484 -1.125944080 -0.059816990 -1.986235966
##  [26] -0.446739972 -0.115431584  1.066311830 -0.610206498  0.354706149
##  [31] -0.597672485 -1.801059862  1.772412677  1.728014295 -0.379868758
##  [36] -0.325085475  0.199737520 -0.669707496 -0.095994098 -2.573770162
##  [41] -0.514649628 -0.395481909  0.485829044 -3.594902619  0.668395536
##  [46] -2.325769110  1.038568883  1.115065590 -0.122567195  4.353716521
##  [51]  1.275941525  1.550773073  1.215658193 -2.937703952 -2.505575096
##  [56]  2.548801700 -2.547666030 -2.361423312 -1.272541325 -0.473681297
##  [61]  4.853806684  0.522305603  2.161297211 -0.175456571  0.870625784
##  [66]  0.669185517 -0.440465299 -0.609895141  1.811883391 -0.351247459
##  [71]  0.074772124 -0.431565023 -0.825041632 -0.931913053  0.805006910
##  [76]  3.181695438  1.206417524  0.039222595  1.819437901  1.189413754
##  [81]  2.115441989  5.124894255 -0.070370032  1.367831789 -0.924730974
##  [86] -0.393695970 -1.063161674  0.127602244 -1.254250558  1.364510297
##  [91]  2.860849848 -0.434536840 -1.030132797  0.824778520  0.088602534
##  [96] -1.203699256  1.110503746  2.174075436  0.870697294 -2.520269744
## [101] -0.605897383  1.541380328  1.384987740  1.384236521  0.750269746
## [106] -0.090423704  1.169450490 -0.285866499  0.766913824  0.240858697
## [111] -0.886119674 -2.551470358  0.609145897  1.635396963 -1.101769999
## [116] -0.349751995  0.704722972  1.635474439  1.120789767  1.309804877
## [121] -2.852482401  0.128750959 -0.051322575  0.413265878  1.238673539
## [126] -0.640693712 -0.997162300  0.140354396 -0.738010497  0.462914182
## [131] -0.589838227  0.305784727 -1.473100199 -0.229455833  1.324287971
## [136]  0.224406143  0.520940756  0.818649350  0.639795330 -0.998901308
## [141]  1.071380114 -0.419093149  0.745653455  0.841540949 -1.022081681
## [146]  2.460769206  0.363795951 -0.883619488 -0.088258646  1.606502333
## [151] -1.544333905  1.570467614 -2.297422500 -3.144103916 -1.084046909
## [156] -2.168322840  1.251713809  0.544139309  1.086425606 -2.790369002
## [161] -0.714682333 -0.888478417 -1.462782814  1.077850916  0.360297944
## [166] -0.398162383  0.271399127  0.823796489  1.130675366  0.265850050
## [171]  1.038069756 -0.698503378  2.075747585 -0.334425214  0.946324876
## [176] -1.996697468  1.032526444 -3.370928818 -0.360862134 -0.394469168
## [181]  1.841098399  0.087727432  2.326303042  2.150869054  0.847420146
## [186] -1.480735786 -3.329421351 -1.688139018 -0.643513018 -0.918940898
## [191]  2.167413320 -1.036885964  0.453893426  0.342057106  1.423364595
## [196] -2.123341101  2.257604443  1.188321102 -0.876867074 -0.850238032
## [201]  0.401873780  0.341919843  0.674175717  1.546153277 -1.220806583
## [206]  0.741203385 -3.023547327 -0.711918824  0.590341656 -1.451776157
## [211]  1.524408539 -1.476209193 -1.629170272 -0.771167443 -1.002334326
## [216] -2.818925025 -0.629450744 -0.383174371  0.145265129  0.699219839
## [221] -2.543852987 -0.708232561  2.596568115 -1.430121506  1.110032739
## [226]  0.704675275  1.263454864 -0.625286217 -5.723425277 -0.484292298
## [231] -0.352575509 -2.833505109  0.935797302  0.831133863  1.004846592
## [236] -0.357568649 -2.188788161 -1.529886734 -0.919069509  1.887785162
## [241]  1.371452616  0.144905386  1.570804282 -0.513546360 -1.364151827
## [246] -1.570524540  0.729282028 -4.348585119 -1.864211408  0.808992634
## [251]  1.145212324  1.048494921  1.294220879  0.692816927 -0.423168470
## [256]  0.258794131  0.283307307  1.074294433 -1.056676322 -2.384664410
## [261] -0.654938533  1.920947255  0.315978144 -0.278426919  1.138583995
## [266] -0.396109443  1.604239906 -1.029861681  2.487365107  2.449583605
## [271] -1.859496551  1.011133279  1.300248121  0.053085819  0.422971031
## [276] -0.987293380  0.967863061  0.672019487  0.601392509  0.142110516
## [281]  0.550939468 -0.991806619 -0.666962274  0.050145596  1.037846818
## [286] -0.854568820 -3.660757991 -2.203921638  1.628900572 -0.601353598
## [291]  0.195126195 -0.147713228 -2.246907916 -1.139278834  1.097979075
## [296] -1.052941806 -1.383734403 -0.746556107 -1.242062178  0.528107199
## [301]  1.469575172 -0.357192734 -0.155597513 -0.537036501  1.196753312
## [306] -0.756556787 -0.712447604  0.778910488 -0.782485311 -0.952378029
## [311]  0.849855650 -0.742391188  0.042293968  0.911254518 -1.087295063
## [316]  0.235533677  1.356924566  0.317965521 -0.572826301  0.054205879
## [321] -0.021358713  0.476607673  0.802506443 -1.350179874  0.313333278
## [326]  0.071976094 -0.717241570 -0.117526758 -0.909867303  0.115938101
## [331] -0.358239572  1.271641045  0.910785738  1.110533507  1.574593043
## [336] -2.420691208  1.686609351  0.737185230 -1.926239282 -0.700773250
## [341]  0.630943021  0.487164176  1.774315459  0.493016612  0.287235221
## [346] -1.643388485  0.575141426  3.137070804  1.361522930  0.748013556
## [351]  0.692279683  0.666096876  0.458281917  1.336715768  0.635237934
## [356] -0.258032259 -0.839492972  0.163249487 -0.798134144 -2.524435944
## [361] -2.029518330  0.191517276 -1.511755321 -0.593332880 -1.386884055
## [366]  0.205594593  1.101341339  1.900665135  0.967916311 -1.135235052
## [371] -4.648002656  1.186082167  0.634991105  0.055789479 -0.973654993
## [376] -3.206383712  1.044838639  0.119158281 -0.402564036 -1.696757087
## [381] -0.104980492  1.692786069  0.579857039  0.652507835  0.616459264
## [386]  1.662139216 -0.207895276 -1.318668289 -1.894252503 -0.041735798
## [391] -0.374054276 -0.432297524 -0.256785233  0.719634581 -0.044803814
## [396] -1.167091086  0.013387604  0.127002231  2.192048710 -0.697510988
## [401]  1.566070733  1.080430832 -1.152123507  0.516457397  0.431725895
## [406] -0.697460967  0.920909399  2.219024655 -0.652695777 -3.864766524
## [411] -0.735651076 -0.505179703 -2.277964828  0.490728947 -0.616420707
## [416] -2.565650274  0.666288457 -1.048032618  2.233806155  0.276655504
## [421] -1.793967819  0.982652059 -0.528446055  0.814664490 -2.209215477
## [426] -2.280163648  4.778942564 -1.258152630 -1.656092441 -0.455960443
## [431]  3.523232421  0.385272268  1.116329535  1.292400648  0.994685857
## [436]  1.744924956 -1.138254166  0.631980095  2.101536761  0.158499838
## [441] -1.394407295  0.795409378  0.090917364  0.545998192  0.971750606
## [446] -4.691359988  0.903711979 -0.478839655  0.120940759  0.559983193
## [451]  1.669547851  1.052455850 -0.513186287  2.009963471  0.108622342
## [456] -0.839812786  0.726836154  0.579449460 -3.248112347 -1.162795283
## [461] -0.010040472  2.473293829 -0.495809257  0.598449682  0.163966466
## [466]  1.271409865  2.092391029 -0.208777128  2.275406328 -2.230577806
## [471] -1.206500668  0.118272399  0.323554905  0.224499183  1.656635502
## [476] -0.173481253 -1.252914348  0.331936503 -0.270188425 -0.672983124
## [481] -1.764686172 -0.271389503  1.181916318 -0.087078580  1.211772067
## [486] -1.588512172 -2.402279588 -3.484366324  1.208140750 -0.687638546
## [491]  0.210582223  0.027143626  0.328317344 -0.732071533  4.954207224
## [496]  0.034342584  1.522924586  0.859852433 -1.356745573 -1.566035788
## [501]  0.530413552  0.374209706  0.421056806 -0.237644959 -0.262028308
## [506]  0.972782353 -1.316926456 -0.021759042  0.717888801  0.488890860
## [511]  0.161065507  0.651663185  1.310894262  1.852346259  1.382963099
## [516] -0.250013044 -2.017094436 -0.100863787  1.301260114 -0.956711194
## [521]  1.212287069 -0.552724967  4.342247728  0.070723009  1.495918118
## [526]  1.802592467  1.669165295  0.838799964 -0.204346368  1.519854189
## [531]  0.311881678  0.274496030 -1.042091201  2.577782987  0.165075090
## [536]  2.269486814  0.967599699  1.775531578 -1.422274737 -2.198867275
## [541] -1.782921503 -0.629294171 -1.003538410  0.044943260  0.286692851
## [546] -2.461415292 -3.100545366 -0.168264564 -1.453969196 -1.624167813
## [551]  0.935593106  0.193318156  0.391027250  1.017786717  0.263851366
## [556] -0.466283478  0.061993821  0.730041831 -0.946963409  1.164246427
## [561]  0.440018171 -2.262666499  0.077131183  0.788443605  1.155178949
## [566]  1.120431518  0.172411588  0.015502356 -0.788757563 -0.288130138
## [571]  1.449198303  1.236652862  0.573417417  0.724680027 -1.745147456
## [576]  0.026878093  0.518551358  0.171004348  0.929610735 -3.467786295
## [581] -1.303902774  1.079549763 -0.074371980  0.535974295 -2.686781892
## [586]  2.037540613  0.477795761  1.757475645 -2.373300076  3.757374807
## [591] -2.080395588 -1.051886778  0.298394165  0.030148883 -1.721527706
## [596] -1.117947276  0.797657754  1.964001442  0.202067531  1.436056975
## [601]  0.753902839  3.170503939  0.452734833 -1.764465692  1.755031093
## [606]  0.178242874 -3.104311999  1.465836303 -1.985304161  1.087535352
## [611]  0.553451090 -1.082977205 -3.280092061 -0.232763386 -1.554205085
## [616]  1.705339648  0.833460707  2.334839033 -0.847689262  2.725092938
## [621] -1.123627218  0.146860525 -1.951990537 -0.202039914  1.722099087
## [626] -0.775760819  1.825393322  0.959224477  0.453758515  1.550656489
## [631]  0.964938610 -0.158831788  1.838521768  0.227481489  1.756229038
## [636]  0.643287562  1.135022962  0.445048493 -1.128747306  1.705304983
## [641]  0.144202179  0.918812691  0.362433524  2.680463213 -0.189030918
## [646] -2.317159104 -0.177348791 -1.067618142 -1.086502690  1.434697841
## [651]  1.313700636  0.165130865 -0.553864402  1.646243803  0.192940193
## [656] -2.002555461  1.116538676 -2.384397046 -0.637040015 -0.647629729
## [661] -0.016280254 -2.487272281 -2.919355810 -2.174343450 -0.074536367
## [666] -0.653533539 -0.625526968  0.407386866 -0.598934000 -0.990021278
## [671] -1.574871006  1.695306323 -0.502272520 -3.166539758 -0.049326075
## [676]  0.075468416  0.202273330  1.646076203  1.407234083  0.422928592
## [681]  1.787710971 -1.411434740 -0.491258901  0.643531068  1.492335504
## [686] -0.771349598  1.710641820  1.498853648 -0.412356524 -2.407488289
## [691]  0.774523606 -1.369204861 -0.894261844 -1.665246899  2.341942451
## [696] -2.166713631 -0.454311389  3.337369722 -0.611821287 -0.067477321
## [701] -0.814586154 -0.374933435 -1.596261741  1.756862945  0.538391830
## [706] -0.025569357  4.051332060 -0.258175270 -0.004186573 -0.447583358
## [711] -0.935358746 -0.182060365 -0.909927483  0.034140870  1.491271323
## [716] -2.511118742 -2.152716849  0.439332340 -0.635427126 -0.201458724
## [721]  0.757407402 -0.623733935 -0.520850597 -1.040924271  0.559188908
## [726] -0.609491220 -0.724792982 -0.029383730  0.750793925  2.179171015
## [731]  0.004674951  0.974937640 -2.243237682  0.395662462  1.117140500
## [736]  0.513343281 -0.126238488  0.455728228  0.261047845  0.685407287
## [741] -2.278377382  0.941627064  0.990532775 -0.479590554 -2.940084100
## [746] -0.883529466 -1.732518549 -1.279256758 -1.538174530  0.810881974
## [751]  0.313915576 -0.686663174  1.214175365 -3.536839474 -0.943422396
## [756] -1.752981178 -1.001203786  0.546171231  1.061503814 -1.084444104
## [761]  0.926482778 -1.674875045  2.012865700 -1.561067382  0.100340070
## [766]  0.283290637  1.059633773  0.839344740
predict(diabetes_pca)[,1]
##   [1] -1.067806862  1.120952811  0.396218504  1.115054156 -2.357797682
##   [6]  1.434816261  0.929569845  2.148406325 -3.295777171  1.838652045
##  [11]  0.532206965 -0.447648966 -0.703519595 -3.784640161 -1.007494805
##  [16]  2.414600089 -2.209870937  1.179817980  0.154019940 -0.333030410
##  [21] -2.035423962  0.292214484 -1.125944080 -0.059816990 -1.986235966
##  [26] -0.446739972 -0.115431584  1.066311830 -0.610206498  0.354706149
##  [31] -0.597672485 -1.801059862  1.772412677  1.728014295 -0.379868758
##  [36] -0.325085475  0.199737520 -0.669707496 -0.095994098 -2.573770162
##  [41] -0.514649628 -0.395481909  0.485829044 -3.594902619  0.668395536
##  [46] -2.325769110  1.038568883  1.115065590 -0.122567195  4.353716521
##  [51]  1.275941525  1.550773073  1.215658193 -2.937703952 -2.505575096
##  [56]  2.548801700 -2.547666030 -2.361423312 -1.272541325 -0.473681297
##  [61]  4.853806684  0.522305603  2.161297211 -0.175456571  0.870625784
##  [66]  0.669185517 -0.440465299 -0.609895141  1.811883391 -0.351247459
##  [71]  0.074772124 -0.431565023 -0.825041632 -0.931913053  0.805006910
##  [76]  3.181695438  1.206417524  0.039222595  1.819437901  1.189413754
##  [81]  2.115441989  5.124894255 -0.070370032  1.367831789 -0.924730974
##  [86] -0.393695970 -1.063161674  0.127602244 -1.254250558  1.364510297
##  [91]  2.860849848 -0.434536840 -1.030132797  0.824778520  0.088602534
##  [96] -1.203699256  1.110503746  2.174075436  0.870697294 -2.520269744
## [101] -0.605897383  1.541380328  1.384987740  1.384236521  0.750269746
## [106] -0.090423704  1.169450490 -0.285866499  0.766913824  0.240858697
## [111] -0.886119674 -2.551470358  0.609145897  1.635396963 -1.101769999
## [116] -0.349751995  0.704722972  1.635474439  1.120789767  1.309804877
## [121] -2.852482401  0.128750959 -0.051322575  0.413265878  1.238673539
## [126] -0.640693712 -0.997162300  0.140354396 -0.738010497  0.462914182
## [131] -0.589838227  0.305784727 -1.473100199 -0.229455833  1.324287971
## [136]  0.224406143  0.520940756  0.818649350  0.639795330 -0.998901308
## [141]  1.071380114 -0.419093149  0.745653455  0.841540949 -1.022081681
## [146]  2.460769206  0.363795951 -0.883619488 -0.088258646  1.606502333
## [151] -1.544333905  1.570467614 -2.297422500 -3.144103916 -1.084046909
## [156] -2.168322840  1.251713809  0.544139309  1.086425606 -2.790369002
## [161] -0.714682333 -0.888478417 -1.462782814  1.077850916  0.360297944
## [166] -0.398162383  0.271399127  0.823796489  1.130675366  0.265850050
## [171]  1.038069756 -0.698503378  2.075747585 -0.334425214  0.946324876
## [176] -1.996697468  1.032526444 -3.370928818 -0.360862134 -0.394469168
## [181]  1.841098399  0.087727432  2.326303042  2.150869054  0.847420146
## [186] -1.480735786 -3.329421351 -1.688139018 -0.643513018 -0.918940898
## [191]  2.167413320 -1.036885964  0.453893426  0.342057106  1.423364595
## [196] -2.123341101  2.257604443  1.188321102 -0.876867074 -0.850238032
## [201]  0.401873780  0.341919843  0.674175717  1.546153277 -1.220806583
## [206]  0.741203385 -3.023547327 -0.711918824  0.590341656 -1.451776157
## [211]  1.524408539 -1.476209193 -1.629170272 -0.771167443 -1.002334326
## [216] -2.818925025 -0.629450744 -0.383174371  0.145265129  0.699219839
## [221] -2.543852987 -0.708232561  2.596568115 -1.430121506  1.110032739
## [226]  0.704675275  1.263454864 -0.625286217 -5.723425277 -0.484292298
## [231] -0.352575509 -2.833505109  0.935797302  0.831133863  1.004846592
## [236] -0.357568649 -2.188788161 -1.529886734 -0.919069509  1.887785162
## [241]  1.371452616  0.144905386  1.570804282 -0.513546360 -1.364151827
## [246] -1.570524540  0.729282028 -4.348585119 -1.864211408  0.808992634
## [251]  1.145212324  1.048494921  1.294220879  0.692816927 -0.423168470
## [256]  0.258794131  0.283307307  1.074294433 -1.056676322 -2.384664410
## [261] -0.654938533  1.920947255  0.315978144 -0.278426919  1.138583995
## [266] -0.396109443  1.604239906 -1.029861681  2.487365107  2.449583605
## [271] -1.859496551  1.011133279  1.300248121  0.053085819  0.422971031
## [276] -0.987293380  0.967863061  0.672019487  0.601392509  0.142110516
## [281]  0.550939468 -0.991806619 -0.666962274  0.050145596  1.037846818
## [286] -0.854568820 -3.660757991 -2.203921638  1.628900572 -0.601353598
## [291]  0.195126195 -0.147713228 -2.246907916 -1.139278834  1.097979075
## [296] -1.052941806 -1.383734403 -0.746556107 -1.242062178  0.528107199
## [301]  1.469575172 -0.357192734 -0.155597513 -0.537036501  1.196753312
## [306] -0.756556787 -0.712447604  0.778910488 -0.782485311 -0.952378029
## [311]  0.849855650 -0.742391188  0.042293968  0.911254518 -1.087295063
## [316]  0.235533677  1.356924566  0.317965521 -0.572826301  0.054205879
## [321] -0.021358713  0.476607673  0.802506443 -1.350179874  0.313333278
## [326]  0.071976094 -0.717241570 -0.117526758 -0.909867303  0.115938101
## [331] -0.358239572  1.271641045  0.910785738  1.110533507  1.574593043
## [336] -2.420691208  1.686609351  0.737185230 -1.926239282 -0.700773250
## [341]  0.630943021  0.487164176  1.774315459  0.493016612  0.287235221
## [346] -1.643388485  0.575141426  3.137070804  1.361522930  0.748013556
## [351]  0.692279683  0.666096876  0.458281917  1.336715768  0.635237934
## [356] -0.258032259 -0.839492972  0.163249487 -0.798134144 -2.524435944
## [361] -2.029518330  0.191517276 -1.511755321 -0.593332880 -1.386884055
## [366]  0.205594593  1.101341339  1.900665135  0.967916311 -1.135235052
## [371] -4.648002656  1.186082167  0.634991105  0.055789479 -0.973654993
## [376] -3.206383712  1.044838639  0.119158281 -0.402564036 -1.696757087
## [381] -0.104980492  1.692786069  0.579857039  0.652507835  0.616459264
## [386]  1.662139216 -0.207895276 -1.318668289 -1.894252503 -0.041735798
## [391] -0.374054276 -0.432297524 -0.256785233  0.719634581 -0.044803814
## [396] -1.167091086  0.013387604  0.127002231  2.192048710 -0.697510988
## [401]  1.566070733  1.080430832 -1.152123507  0.516457397  0.431725895
## [406] -0.697460967  0.920909399  2.219024655 -0.652695777 -3.864766524
## [411] -0.735651076 -0.505179703 -2.277964828  0.490728947 -0.616420707
## [416] -2.565650274  0.666288457 -1.048032618  2.233806155  0.276655504
## [421] -1.793967819  0.982652059 -0.528446055  0.814664490 -2.209215477
## [426] -2.280163648  4.778942564 -1.258152630 -1.656092441 -0.455960443
## [431]  3.523232421  0.385272268  1.116329535  1.292400648  0.994685857
## [436]  1.744924956 -1.138254166  0.631980095  2.101536761  0.158499838
## [441] -1.394407295  0.795409378  0.090917364  0.545998192  0.971750606
## [446] -4.691359988  0.903711979 -0.478839655  0.120940759  0.559983193
## [451]  1.669547851  1.052455850 -0.513186287  2.009963471  0.108622342
## [456] -0.839812786  0.726836154  0.579449460 -3.248112347 -1.162795283
## [461] -0.010040472  2.473293829 -0.495809257  0.598449682  0.163966466
## [466]  1.271409865  2.092391029 -0.208777128  2.275406328 -2.230577806
## [471] -1.206500668  0.118272399  0.323554905  0.224499183  1.656635502
## [476] -0.173481253 -1.252914348  0.331936503 -0.270188425 -0.672983124
## [481] -1.764686172 -0.271389503  1.181916318 -0.087078580  1.211772067
## [486] -1.588512172 -2.402279588 -3.484366324  1.208140750 -0.687638546
## [491]  0.210582223  0.027143626  0.328317344 -0.732071533  4.954207224
## [496]  0.034342584  1.522924586  0.859852433 -1.356745573 -1.566035788
## [501]  0.530413552  0.374209706  0.421056806 -0.237644959 -0.262028308
## [506]  0.972782353 -1.316926456 -0.021759042  0.717888801  0.488890860
## [511]  0.161065507  0.651663185  1.310894262  1.852346259  1.382963099
## [516] -0.250013044 -2.017094436 -0.100863787  1.301260114 -0.956711194
## [521]  1.212287069 -0.552724967  4.342247728  0.070723009  1.495918118
## [526]  1.802592467  1.669165295  0.838799964 -0.204346368  1.519854189
## [531]  0.311881678  0.274496030 -1.042091201  2.577782987  0.165075090
## [536]  2.269486814  0.967599699  1.775531578 -1.422274737 -2.198867275
## [541] -1.782921503 -0.629294171 -1.003538410  0.044943260  0.286692851
## [546] -2.461415292 -3.100545366 -0.168264564 -1.453969196 -1.624167813
## [551]  0.935593106  0.193318156  0.391027250  1.017786717  0.263851366
## [556] -0.466283478  0.061993821  0.730041831 -0.946963409  1.164246427
## [561]  0.440018171 -2.262666499  0.077131183  0.788443605  1.155178949
## [566]  1.120431518  0.172411588  0.015502356 -0.788757563 -0.288130138
## [571]  1.449198303  1.236652862  0.573417417  0.724680027 -1.745147456
## [576]  0.026878093  0.518551358  0.171004348  0.929610735 -3.467786295
## [581] -1.303902774  1.079549763 -0.074371980  0.535974295 -2.686781892
## [586]  2.037540613  0.477795761  1.757475645 -2.373300076  3.757374807
## [591] -2.080395588 -1.051886778  0.298394165  0.030148883 -1.721527706
## [596] -1.117947276  0.797657754  1.964001442  0.202067531  1.436056975
## [601]  0.753902839  3.170503939  0.452734833 -1.764465692  1.755031093
## [606]  0.178242874 -3.104311999  1.465836303 -1.985304161  1.087535352
## [611]  0.553451090 -1.082977205 -3.280092061 -0.232763386 -1.554205085
## [616]  1.705339648  0.833460707  2.334839033 -0.847689262  2.725092938
## [621] -1.123627218  0.146860525 -1.951990537 -0.202039914  1.722099087
## [626] -0.775760819  1.825393322  0.959224477  0.453758515  1.550656489
## [631]  0.964938610 -0.158831788  1.838521768  0.227481489  1.756229038
## [636]  0.643287562  1.135022962  0.445048493 -1.128747306  1.705304983
## [641]  0.144202179  0.918812691  0.362433524  2.680463213 -0.189030918
## [646] -2.317159104 -0.177348791 -1.067618142 -1.086502690  1.434697841
## [651]  1.313700636  0.165130865 -0.553864402  1.646243803  0.192940193
## [656] -2.002555461  1.116538676 -2.384397046 -0.637040015 -0.647629729
## [661] -0.016280254 -2.487272281 -2.919355810 -2.174343450 -0.074536367
## [666] -0.653533539 -0.625526968  0.407386866 -0.598934000 -0.990021278
## [671] -1.574871006  1.695306323 -0.502272520 -3.166539758 -0.049326075
## [676]  0.075468416  0.202273330  1.646076203  1.407234083  0.422928592
## [681]  1.787710971 -1.411434740 -0.491258901  0.643531068  1.492335504
## [686] -0.771349598  1.710641820  1.498853648 -0.412356524 -2.407488289
## [691]  0.774523606 -1.369204861 -0.894261844 -1.665246899  2.341942451
## [696] -2.166713631 -0.454311389  3.337369722 -0.611821287 -0.067477321
## [701] -0.814586154 -0.374933435 -1.596261741  1.756862945  0.538391830
## [706] -0.025569357  4.051332060 -0.258175270 -0.004186573 -0.447583358
## [711] -0.935358746 -0.182060365 -0.909927483  0.034140870  1.491271323
## [716] -2.511118742 -2.152716849  0.439332340 -0.635427126 -0.201458724
## [721]  0.757407402 -0.623733935 -0.520850597 -1.040924271  0.559188908
## [726] -0.609491220 -0.724792982 -0.029383730  0.750793925  2.179171015
## [731]  0.004674951  0.974937640 -2.243237682  0.395662462  1.117140500
## [736]  0.513343281 -0.126238488  0.455728228  0.261047845  0.685407287
## [741] -2.278377382  0.941627064  0.990532775 -0.479590554 -2.940084100
## [746] -0.883529466 -1.732518549 -1.279256758 -1.538174530  0.810881974
## [751]  0.313915576 -0.686663174  1.214175365 -3.536839474 -0.943422396
## [756] -1.752981178 -1.001203786  0.546171231  1.061503814 -1.084444104
## [761]  0.926482778 -1.674875045  2.012865700 -1.561067382  0.100340070
## [766]  0.283290637  1.059633773  0.839344740
#The aboved two gives us the same thing. predict is a good function to know.
diabetes$Outcome <- as.factor(diabetes$Outcome)
out <- sapply(1:8, function(i){plot(diabetes$Outcome,diabetes_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="Outcome")})

pairs(diabetes_pca$x[,1:8], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,diabetes$Outcome)})

# Better Ways to Visualize

library(factoextra)
## Warning: package 'factoextra' was built under R version 4.2.2
## Loading required package: ggplot2
## Warning: package 'ggplot2' was built under R version 4.2.2
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa

library(FactoMineR)
## Warning: package 'FactoMineR' was built under R version 4.2.2
library(ggfortify)
## Warning: package 'ggfortify' was built under R version 4.2.2
library(psych)
## Warning: package 'psych' was built under R version 4.2.2
## 
## Attaching package: 'psych'
## 
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
## 
## The following object is masked from 'package:car':
## 
##     logit
library(corrplot)
## Warning: package 'corrplot' was built under R version 4.2.2
## corrplot 0.92 loaded
library(devtools)
## Warning: package 'devtools' was built under R version 4.2.2
## Loading required package: usethis
## Warning: package 'usethis' was built under R version 4.2.2
# Correlation
pairs.panels(diabetes[,-1],gap = 0,bg = c("red", "blue")[diabetes$Outcome],pch=21)

pairs.panels(diabetes_pca$x,gap=0,bg = c("red", "blue")[diabetes$Outcome],pch=21)

fviz_eig(diabetes_pca, addlabels = TRUE)

fviz_pca_var(diabetes_pca,col.var = "cos2", gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),repel = TRUE)

fviz_pca_ind(diabetes_pca, col.ind = "cos2", gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),repel = TRUE)

biplot(diabetes_pca)

autoplot(diabetes_pca,data = diabetes[,-1],loadings = TRUE,labels = diabetes$Outcome)

# Different PCA Method. 
res.pca<- PCA(diabetes[,-1], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 768 individuals, described by 8 variables
## *The results are available in the following objects:
## 
##    name               description                          
## 1  "$eig"             "eigenvalues"                        
## 2  "$var"             "results for the variables"          
## 3  "$var$coord"       "coord. for the variables"           
## 4  "$var$cor"         "correlations variables - dimensions"
## 5  "$var$cos2"        "cos2 for the variables"             
## 6  "$var$contrib"     "contributions of the variables"     
## 7  "$ind"             "results for the individuals"        
## 8  "$ind$coord"       "coord. for the individuals"         
## 9  "$ind$cos2"        "cos2 for the individuals"           
## 10 "$ind$contrib"     "contributions of the individuals"   
## 11 "$call"            "summary statistics"                 
## 12 "$call$centre"     "mean of the variables"              
## 13 "$call$ecart.type" "standard error of the variables"    
## 14 "$call$row.w"      "weights for the individuals"        
## 15 "$call$col.w"      "weights for the variables"
# Visualize and Interpret PCA using these functions 

#get_eigenvalue(res.pca): Extract the eigenvalues/variances of principal components
#fviz_eig(res.pca): Visualize the eigenvalues
#get_pca_ind(res.pca), get_pca_var(res.pca): Extract the results for individuals and variables, respectively.
#fviz_pca_ind(res.pca), fviz_pca_var(res.pca): Visualize the results individuals and variables, respectively.
#fviz_pca_biplot(res.pca): Make a biplot of individuals and variables.

eig.val<- get_eigenvalue(res.pca)
eig.val
##       eigenvalue variance.percent cumulative.variance.percent
## Dim.1  2.0943799        26.179749                    26.17975
## Dim.2  1.7312101        21.640127                    47.81988
## Dim.3  1.0296299        12.870373                    60.69025
## Dim.4  0.8755290        10.944113                    71.63436
## Dim.5  0.7623444         9.529305                    81.16367
## Dim.6  0.6826284         8.532855                    89.69652
## Dim.7  0.4198162         5.247702                    94.94422
## Dim.8  0.4044620         5.055776                   100.00000
fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 50))

var<- get_pca_var(res.pca)
var
## Principal Component Analysis Results for variables
##  ===================================================
##   Name       Description                                    
## 1 "$coord"   "Coordinates for the variables"                
## 2 "$cor"     "Correlations between variables and dimensions"
## 3 "$cos2"    "Cos2 for the variables"                       
## 4 "$contrib" "contributions of the variables"
var$coord
##                              Dim.1      Dim.2       Dim.3       Dim.4
## Pregnancies              0.1858666  0.7812764 -0.01327939  0.07550248
## Glucose                  0.5688680  0.2289796  0.47480446 -0.37832919
## BloodPressure            0.5209948  0.2419568 -0.54336983  0.05238640
## SkinThickness            0.6365125 -0.4367849 -0.24116921  0.03553411
## Insulin                  0.6295687 -0.3299663  0.34166084 -0.32744136
## BMI                      0.6540483 -0.1328383 -0.36718649  0.05019636
## DiabetesPedigreeFunction 0.3916281 -0.1606129  0.43955987  0.78007205
## Age                      0.2865842  0.8165422  0.07635420  0.06662220
##                                Dim.5
## Pregnancies               0.41526247
## Glucose                  -0.40716190
## BloodPressure            -0.28634347
## SkinThickness             0.42596376
## Insulin                   0.30291688
## BMI                      -0.22107811
## DiabetesPedigreeFunction -0.10460934
## Age                       0.09542361
var$cos2
##                               Dim.1      Dim.2        Dim.3       Dim.4
## Pregnancies              0.03454639 0.61039286 0.0001763422 0.005700624
## Glucose                  0.32361083 0.05243164 0.2254392753 0.143132980
## BloodPressure            0.27143558 0.05854311 0.2952507705 0.002744334
## SkinThickness            0.40514815 0.19078107 0.0581625900 0.001262673
## Insulin                  0.39635673 0.10887778 0.1167321281 0.107217843
## BMI                      0.42777914 0.01764602 0.1348259220 0.002519674
## DiabetesPedigreeFunction 0.15337260 0.02579649 0.1932128778 0.608512398
## Age                      0.08213053 0.66674118 0.0058299632 0.004438517
##                                Dim.5
## Pregnancies              0.172442916
## Glucose                  0.165780813
## BloodPressure            0.081992583
## SkinThickness            0.181445124
## Insulin                  0.091758638
## BMI                      0.048875532
## DiabetesPedigreeFunction 0.010943113
## Age                      0.009105666
head(var$coord,8)
##                              Dim.1      Dim.2       Dim.3       Dim.4
## Pregnancies              0.1858666  0.7812764 -0.01327939  0.07550248
## Glucose                  0.5688680  0.2289796  0.47480446 -0.37832919
## BloodPressure            0.5209948  0.2419568 -0.54336983  0.05238640
## SkinThickness            0.6365125 -0.4367849 -0.24116921  0.03553411
## Insulin                  0.6295687 -0.3299663  0.34166084 -0.32744136
## BMI                      0.6540483 -0.1328383 -0.36718649  0.05019636
## DiabetesPedigreeFunction 0.3916281 -0.1606129  0.43955987  0.78007205
## Age                      0.2865842  0.8165422  0.07635420  0.06662220
##                                Dim.5
## Pregnancies               0.41526247
## Glucose                  -0.40716190
## BloodPressure            -0.28634347
## SkinThickness             0.42596376
## Insulin                   0.30291688
## BMI                      -0.22107811
## DiabetesPedigreeFunction -0.10460934
## Age                       0.09542361
#var$coord: coordinates of variables to create a scatter plot
#var$cos2: represents the quality of representation for variables on the factor map. It’s calculated as the squared coordinates: var.cos2 = var.coord * var.coord.
#var$contrib: contains the contributions (in percentage) of the variables to the principal components. 
#The contribution of a variable (var) to a given principal component is (in percentage) : (var.cos2 * 100) / (total cos2 of the component).
var
## Principal Component Analysis Results for variables
##  ===================================================
##   Name       Description                                    
## 1 "$coord"   "Coordinates for the variables"                
## 2 "$cor"     "Correlations between variables and dimensions"
## 3 "$cos2"    "Cos2 for the variables"                       
## 4 "$contrib" "contributions of the variables"
# Coordinates
head(var$coord,8)
##                              Dim.1      Dim.2       Dim.3       Dim.4
## Pregnancies              0.1858666  0.7812764 -0.01327939  0.07550248
## Glucose                  0.5688680  0.2289796  0.47480446 -0.37832919
## BloodPressure            0.5209948  0.2419568 -0.54336983  0.05238640
## SkinThickness            0.6365125 -0.4367849 -0.24116921  0.03553411
## Insulin                  0.6295687 -0.3299663  0.34166084 -0.32744136
## BMI                      0.6540483 -0.1328383 -0.36718649  0.05019636
## DiabetesPedigreeFunction 0.3916281 -0.1606129  0.43955987  0.78007205
## Age                      0.2865842  0.8165422  0.07635420  0.06662220
##                                Dim.5
## Pregnancies               0.41526247
## Glucose                  -0.40716190
## BloodPressure            -0.28634347
## SkinThickness             0.42596376
## Insulin                   0.30291688
## BMI                      -0.22107811
## DiabetesPedigreeFunction -0.10460934
## Age                       0.09542361
# Cos2: quality on the factore map
head(var$cos2,8)
##                               Dim.1      Dim.2        Dim.3       Dim.4
## Pregnancies              0.03454639 0.61039286 0.0001763422 0.005700624
## Glucose                  0.32361083 0.05243164 0.2254392753 0.143132980
## BloodPressure            0.27143558 0.05854311 0.2952507705 0.002744334
## SkinThickness            0.40514815 0.19078107 0.0581625900 0.001262673
## Insulin                  0.39635673 0.10887778 0.1167321281 0.107217843
## BMI                      0.42777914 0.01764602 0.1348259220 0.002519674
## DiabetesPedigreeFunction 0.15337260 0.02579649 0.1932128778 0.608512398
## Age                      0.08213053 0.66674118 0.0058299632 0.004438517
##                                Dim.5
## Pregnancies              0.172442916
## Glucose                  0.165780813
## BloodPressure            0.081992583
## SkinThickness            0.181445124
## Insulin                  0.091758638
## BMI                      0.048875532
## DiabetesPedigreeFunction 0.010943113
## Age                      0.009105666
# Contributions to the principal components
head(var$contrib,8)
##                              Dim.1     Dim.2       Dim.3      Dim.4     Dim.5
## Pregnancies               1.649481 35.258161  0.01712676  0.6511062 22.620081
## Glucose                  15.451391  3.028612 21.89517632 16.3481704 21.746184
## BloodPressure            12.960188  3.381629 28.67542787  0.3134487 10.755321
## SkinThickness            19.344539 11.020099  5.64888333  0.1442183 23.800939
## Insulin                  18.924777  6.289114 11.33729038 12.2460636 12.036376
## BMI                      20.425097  1.019288 13.09460089  0.2877888  6.411214
## DiabetesPedigreeFunction  7.323055  1.490084 18.76527513 69.5022515  1.435455
## Age                       3.921472 38.513013  0.56621932  0.5069526  1.194429
#The plot Below is also known as variable correlation plots. It shows the relationships between all variables. It can be interpreted as follow:

#Positively correlated variables are grouped together.
#Negatively correlated variables are positioned on opposite sides of the plot origin (opposed quadrants).
#The distance between variables and the origin measures the quality of the variables on the factor map. 
#Variables that are away from the origin are well represented on the factor map.

# Correlation circle
fviz_pca_var(res.pca, col.var = "black")

# Quality of representation


corrplot(var$cos2, is.corr=FALSE)

# Total cos2 of variables on Dim.1 and Dim.2
#A high cos2 indicates a good representation of the variable on the principal component. 
#In this case the variable is positioned close to the circumference of the correlation circle.
#A low cos2 indicates that the variable is not perfectly represented by the PCs. 
#In this case the variable is close to the center of the circle.

fviz_cos2(res.pca, choice = "var", axes = 1:2)

fviz_pca_var(res.pca, col.var = "cos2",gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), repel = TRUE) # Avoid text overlapping

# Change the transparency by cos2 values
fviz_pca_var(res.pca, alpha.var = "cos2")

corrplot(var$contrib, is.corr=FALSE)

# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 1, top = 10)

# Contributions of variables to PC2
fviz_contrib(res.pca, choice = "var", axes = 2, top = 10)

fviz_pca_var(res.pca, col.var = "contrib", gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"))

fviz_pca_var(res.pca, alpha.var = "contrib")

fviz_pca_ind(res.pca,geom.ind = "point",col.ind = diabetes$Outcome, palette = c("#00AFBB", "#E7B800", "#FC4E07"),addEllipses = TRUE, legend.title = "Groups")

# Description of PC

res.desc <- dimdesc(res.pca, axes = c(1,2,3,4,5), proba = 0.06)
# Description of dimension 1
res.desc$Dim.1
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                          correlation      p.value
## BMI                        0.6540483 6.168950e-95
## SkinThickness              0.6365125 1.793190e-88
## Insulin                    0.6295687 4.996464e-86
## Glucose                    0.5688680 4.664600e-67
## BloodPressure              0.5209948 1.165666e-54
## DiabetesPedigreeFunction   0.3916281 1.478774e-29
## Age                        0.2865842 5.513417e-16
## Pregnancies                0.1858666 2.128321e-07
res.desc$Dim.2
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                          correlation       p.value
## Age                        0.8165422 5.926441e-185
## Pregnancies                0.7812764 5.978970e-159
## BloodPressure              0.2419568  1.078580e-11
## Glucose                    0.2289796  1.355341e-10
## BMI                       -0.1328383  2.227605e-04
## DiabetesPedigreeFunction  -0.1606129  7.718276e-06
## Insulin                   -0.3299663  5.790002e-21
## SkinThickness             -0.4367849  4.039621e-37
res.desc$Dim.3
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                          correlation      p.value
## Glucose                    0.4748045 1.947570e-44
## DiabetesPedigreeFunction   0.4395599 1.267700e-37
## Insulin                    0.3416608 1.885004e-22
## Age                        0.0763542 3.437611e-02
## SkinThickness             -0.2411692 1.263067e-11
## BMI                       -0.3671865 6.336963e-26
## BloodPressure             -0.5433698 3.315160e-60
res.desc$Dim.4
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                          correlation       p.value
## DiabetesPedigreeFunction  0.78007205 3.786041e-158
## Pregnancies               0.07550248  3.644169e-02
## Insulin                  -0.32744136  1.189843e-20
## Glucose                  -0.37832919  1.528745e-27
res.desc$Dim.5
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                          correlation      p.value
## SkinThickness             0.42596376 3.350455e-35
## Pregnancies               0.41526247 2.266248e-33
## Insulin                   0.30291688 9.204946e-18
## Age                       0.09542361 8.140410e-03
## DiabetesPedigreeFunction -0.10460934 3.704771e-03
## BMI                      -0.22107811 5.883850e-10
## BloodPressure            -0.28634347 5.844820e-16
## Glucose                  -0.40716190 4.982221e-32
# Graph of Indiviuals
ind <- get_pca_ind(res.pca)
ind
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
#To get access to the different components, use this:

# Coordinates of individuals
head(ind$coord,8)
##        Dim.1      Dim.2       Dim.3       Dim.4      Dim.5
## 1  1.0685027  1.2348950  0.09592984  0.49699020  0.1099849
## 2 -1.1216833 -0.7338517 -0.71293816  0.28505622  0.3895072
## 3 -0.3964767  1.5958759  1.76067844 -0.07039464 -0.9064739
## 4 -1.1157808 -1.2712410 -0.66372923 -0.57912299  0.3560598
## 5  2.3593342 -2.1848192  2.96310657  4.03309896 -0.5926843
## 6 -1.4357513  0.8355771 -0.22033215 -0.44784462 -0.4439724
## 7 -0.9301756 -1.1079397 -0.53657831 -0.14465996  1.2516915
## 8 -2.1498064  0.8559019  1.25464158 -0.63826858  1.2346660
# Quality of individuals
head(ind$cos2,8)
##       Dim.1      Dim.2       Dim.3        Dim.4       Dim.5
## 1 0.2403887 0.32108710 0.001937627 0.0520065998 0.002547000
## 2 0.3698729 0.15831736 0.149422395 0.0238876284 0.044600829
## 3 0.0172676 0.27976603 0.340531132 0.0005443471 0.090262485
## 4 0.3150366 0.40893952 0.111476978 0.0848681838 0.032081092
## 5 0.1492202 0.12796159 0.235365697 0.4360400491 0.009416628
## 6 0.5499530 0.18626884 0.012951584 0.0535083850 0.052587092
## 7 0.2052458 0.29119010 0.068298416 0.0049641065 0.371654146
## 8 0.2354910 0.03732704 0.080207494 0.0207578574 0.077673809
# Contributions of individuals
head(ind$contrib,8)
##         Dim.1      Dim.2       Dim.3        Dim.4       Dim.5
## 1 0.070979769 0.11469620 0.001163765 0.0367336326 0.002066112
## 2 0.078221083 0.04050471 0.064277853 0.0120845165 0.025913050
## 3 0.009772792 0.19155224 0.392028591 0.0007369659 0.140345385
## 4 0.077400023 0.12154715 0.055710818 0.0498780917 0.021653765
## 5 0.346068634 0.35902112 1.110330300 2.4190563190 0.059997667
## 6 0.128156827 0.05251242 0.006139223 0.0298279178 0.033666626
## 7 0.053791446 0.09232540 0.036410268 0.0031121815 0.267597564
## 8 0.287330686 0.05509814 0.199065958 0.0605864006 0.260367385
fviz_pca_ind(res.pca)

fviz_pca_ind(res.pca, col.ind = "cos2", gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),repel = TRUE)# Avoid text overlapping (slow if many points)

fviz_pca_ind(res.pca, pointsize = "cos2", pointshape = 21, fill = "#E7B800",repel = TRUE) # Avoid text overlapping (slow if many points)

fviz_pca_ind(res.pca, col.ind = "cos2", pointsize = "cos2",gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),repel = TRUE) # Avoid text overlapping (slow if many points)

fviz_cos2(res.pca, choice = "ind")

# Total contribution on PC1 and PC2
fviz_contrib(res.pca, choice = "ind", axes = 1:2)

# Create a random continuous variable of length 23,
# Same length as the number of active individuals in the PCA
set.seed(123)
my.cont.var <- rnorm(768)
# Color individuals by the continuous variable
fviz_pca_ind(res.pca, col.ind = my.cont.var,gradient.cols = c("blue", "yellow", "red"),legend.title = "Cont.Var")

fviz_pca_ind(res.pca,geom.ind = "point",col.ind = diabetes$Outcome,palette = c("#00AFBB", "#E7B800", "#FC4E07"),addEllipses = TRUE, legend.title = "Groups")

fviz_pca_ind(res.pca, geom.ind = "point", col.ind = diabetes$Outcome, palette = c("#00AFBB", "#E7B800", "#FC4E07"),addEllipses = TRUE, ellipse.type = "confidence",legend.title = "Groups")

fviz_pca_ind(res.pca,label = "none", habillage = diabetes$Outcome, addEllipses = TRUE, palette = "jco")

fviz_pca_var(res.pca, geom.var = c("point", "text"))

# Show individuals text labels only
fviz_pca_ind(res.pca, geom.ind =  "text")

# Change the size of arrows an labels
fviz_pca_var(res.pca, arrowsize = 1, labelsize = 5, repel = TRUE)

# Change points size, shape and fill color
# Change labelsize
fviz_pca_ind(res.pca, pointsize = 3, pointshape = 21, fill = "lightblue",labelsize = 5, repel = TRUE)

fviz_pca_ind(res.pca,geom.ind = "point",group.ind = diabetes$Outcome, legend.title = "Groups",mean.point = FALSE)

fviz_pca_ind(res.pca,geom.ind = "point", group.ind = diabetes$Outcome, legend.title = "Groups",mean.point = TRUE)

fviz_pca_var(res.pca, axes.linetype = "blank")

ind.p <- fviz_pca_ind(res.pca, geom = "point", col.ind = diabetes$Outcome)
ggpubr::ggpar(ind.p,title = "Principal Component Analysis",subtitle = "Iris data set",caption = "Source: factoextra",xlab = "PC1", ylab = "PC2",legend.title = "Outcome", legend.position = "top",ggtheme = theme_gray(), palette = "jco")

fviz_pca_biplot(res.pca, repel = TRUE,col.ind = diabetes$Outcome,col.var = "#2E9FDF",) 

fviz_pca_biplot(res.pca, col.ind = diabetes$Outcome, palette = "jco", addEllipses = TRUE, label = "var",col.var = "black", repel = TRUE,legend.title = "Outcome") 

fviz_pca_biplot(res.pca, geom.ind = "point",pointshape = 21,pointsize = 2.5,fill.ind = diabetes$Outcome,col.ind = "black",legend.title = list(fill = "Outcome", color = "Clusters"),repel = TRUE)+ggpubr::fill_palette("jco")+ggpubr::color_palette("npg")      

fviz_pca_biplot(res.pca, geom.ind = "point",fill.ind = diabetes$Outcome, col.ind = "black",pointshape = 21, pointsize = 2,palette = "jco",addEllipses = TRUE,alpha.var ="contrib", col.var = "contrib",gradient.cols = "RdYlBu",legend.title = list(fill = "Outcome", color = "Contrib",alpha = "Contrib"))

## http://www.sthda.com/english/articles/31-principal-component-methods-in-r-practical-guide/112-pca-principal-component-analysis-essentials/